{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 8 基于深度学习的时间序列分析方法\n",
    "### 8.1 LSTM长短期记忆网络"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 8.1.1 使用pytorch搭建"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn as nn\n",
    "\n",
    "from sklearn.preprocessing import MinMaxScaler\n",
    "import time\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "from pandas.plotting import register_matplotlib_converters\n",
    "register_matplotlib_converters()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**数据导入和准备**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "325"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 导入酒精销售数据\n",
    "df = pd.read_csv('data\\Alcohol_Sales.csv',index_col=0,parse_dates=True)\n",
    "len(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 176,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>S4248SM144NCEN</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DATE</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1992-01-01</th>\n",
       "      <td>3459</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-02-01</th>\n",
       "      <td>3458</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-03-01</th>\n",
       "      <td>4002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-04-01</th>\n",
       "      <td>4564</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-05-01</th>\n",
       "      <td>4221</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            S4248SM144NCEN\n",
       "DATE                      \n",
       "1992-01-01            3459\n",
       "1992-02-01            3458\n",
       "1992-03-01            4002\n",
       "1992-04-01            4564\n",
       "1992-05-01            4221"
      ]
     },
     "execution_count": 176,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()  # 观察数据集，这是一个单变量时间序列"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 177,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,4))\n",
    "plt.grid(True)\n",
    "plt.plot(df['S4248SM144NCEN'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 178,
   "metadata": {},
   "outputs": [],
   "source": [
    "y = df['S4248SM144NCEN'].values.astype(float)\n",
    "\n",
    "test_size = 12\n",
    "\n",
    "# 划分训练和测试集，最后12个值作为测试集\n",
    "train_set = y[:-test_size]\n",
    "test_set = y[-test_size:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 179,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([10415., 12683., 11919., 14138., 14583., 12640., 14257., 12396.,\n",
       "       13914., 14174., 15504., 10718.])"
      ]
     },
     "execution_count": 179,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 180,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 归一化至[-1,1]区间，为了获得更好的训练效果\n",
    "scaler = MinMaxScaler(feature_range=(-1, 1))\n",
    "train_norm = scaler.fit_transform(train_set.reshape(-1, 1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**创建时间序列训练集**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "301"
      ]
     },
     "execution_count": 181,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 转换成 tensor\n",
    "train_norm = torch.FloatTensor(train_norm).view(-1)\n",
    "\n",
    "# 定义时间窗口，注意和前面的test size不是一个概念\n",
    "window_size = 12\n",
    "\n",
    "# 这个函数的目的是为了从原时间序列中抽取出训练样本，也就是用第一个值到第十二个值作为X输入，预测第十三个值作为y输出，这是一个用于训练的数据点，时间窗口向后滑动以此类推\n",
    "def input_data(seq,ws):  \n",
    "    out = []\n",
    "    L = len(seq)\n",
    "    for i in range(L-ws):\n",
    "        window = seq[i:i+ws]\n",
    "        label = seq[i+ws:i+ws+1]\n",
    "        out.append((window,label))\n",
    "    return out\n",
    "\n",
    "\n",
    "train_data = input_data(train_norm,window_size)\n",
    "len(train_data)  # 等于325（原始数据集长度）-12（测试集长度）-12（时间窗口） "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(tensor([-0.9268, -0.9270, -0.8340, -0.7379, -0.7966, -0.7439, -0.7547, -0.8109,\n",
       "         -0.8128, -0.7901, -0.7933, -0.6743]),\n",
       " tensor([-1.]))"
      ]
     },
     "execution_count": 182,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 观察某一个数据点\n",
    "train_data[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**定义模型**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 183,
   "metadata": {},
   "outputs": [],
   "source": [
    "class LSTMnetwork(nn.Module):\n",
    "    def __init__(self,input_size=1,hidden_size=100,output_size=1):\n",
    "        super().__init__()\n",
    "        self.hidden_size = hidden_size\n",
    "        \n",
    "        # 定义LSTM层\n",
    "        self.lstm = nn.LSTM(input_size,hidden_size)\n",
    "        \n",
    "        # 定义全连接层\n",
    "        self.linear = nn.Linear(hidden_size,output_size)\n",
    "        \n",
    "        # 初始化h0，c0\n",
    "        self.hidden = (torch.zeros(1,1,self.hidden_size),\n",
    "                       torch.zeros(1,1,self.hidden_size))\n",
    "\n",
    "    def forward(self,seq):\n",
    "        # 前向传播的过程是输入->LSTM层->全连接层->输出\n",
    "        \n",
    "        # https://pytorch.org/docs/stable/generated/torch.nn.LSTM.html?highlight=lstm#torch.nn.LSTM\n",
    "        # 在观察查看LSTM输入的维度，LSTM的第一个输入input_size维度是(L, N, H_in), L是序列长度，N是batch size，H_in是输入尺寸，也就是变量个数\n",
    "        # LSTM的第二个输入是一个元组，包含了h0,c0两个元素，这两个元素的维度都是（D∗num_layers,N,H_out)，D=1表示单向网络，num_layers表示多少个LSTM层叠加，N是batch size，H_out表示隐层神经元个数\n",
    "        lstm_out, self.hidden = self.lstm(seq.view(len(seq),1,-1), self.hidden)\n",
    "        \n",
    "        pred = self.linear(lstm_out.view(len(seq),-1)) \n",
    "        return pred[-1]  # 输出只用取最后一个值"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**定义损失函数和优化函数**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 184,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LSTMnetwork(\n",
       "  (lstm): LSTM(1, 100)\n",
       "  (linear): Linear(in_features=100, out_features=1, bias=True)\n",
       ")"
      ]
     },
     "execution_count": 184,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "torch.manual_seed(101)\n",
    "model = LSTMnetwork()\n",
    "\n",
    "criterion = nn.MSELoss()\n",
    "optimizer = torch.optim.Adam(model.parameters(), lr=0.001)\n",
    "\n",
    "model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 185,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   400\n",
      " 40000\n",
      "   400\n",
      "   400\n",
      "   100\n",
      "     1\n",
      "______\n",
      " 41301\n"
     ]
    }
   ],
   "source": [
    "# 看下这个网络结构总共有多少个参数\n",
    "def count_parameters(model):\n",
    "    params = [p.numel() for p in model.parameters() if p.requires_grad]\n",
    "    for item in params:\n",
    "        print(f'{item:>6}')\n",
    "    print(f'______\\n{sum(params):>6}')\n",
    "    \n",
    "count_parameters(model)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**训练模型**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 186,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch:  1 Loss: 0.25310209\n",
      "Epoch:  2 Loss: 0.37532014\n",
      "Epoch:  3 Loss: 0.39027199\n",
      "Epoch:  4 Loss: 0.34934705\n",
      "Epoch:  5 Loss: 0.33085635\n",
      "Epoch:  6 Loss: 0.33229983\n",
      "Epoch:  7 Loss: 0.32670355\n",
      "Epoch:  8 Loss: 0.32074136\n",
      "Epoch:  9 Loss: 0.30653533\n",
      "Epoch: 10 Loss: 0.29518044\n",
      "Epoch: 11 Loss: 0.26934361\n",
      "Epoch: 12 Loss: 0.25998521\n",
      "Epoch: 13 Loss: 0.24665757\n",
      "Epoch: 14 Loss: 0.22403948\n",
      "Epoch: 15 Loss: 0.18602757\n",
      "Epoch: 16 Loss: 0.18561246\n",
      "Epoch: 17 Loss: 0.17209382\n",
      "Epoch: 18 Loss: 0.25161767\n",
      "Epoch: 19 Loss: 0.22557595\n",
      "Epoch: 20 Loss: 0.17449248\n",
      "Epoch: 21 Loss: 0.20236212\n",
      "Epoch: 22 Loss: 0.20818113\n",
      "Epoch: 23 Loss: 0.16646339\n",
      "Epoch: 24 Loss: 0.17596811\n",
      "Epoch: 25 Loss: 0.11981886\n",
      "Epoch: 26 Loss: 0.09510354\n",
      "Epoch: 27 Loss: 0.04497015\n",
      "Epoch: 28 Loss: 0.06977511\n",
      "Epoch: 29 Loss: 0.00583372\n",
      "Epoch: 30 Loss: 0.10420544\n",
      "Epoch: 31 Loss: 0.00130300\n",
      "Epoch: 32 Loss: 0.01704546\n",
      "Epoch: 33 Loss: 0.00454277\n",
      "Epoch: 34 Loss: 0.01743382\n",
      "Epoch: 35 Loss: 0.05319921\n",
      "Epoch: 36 Loss: 0.01346177\n",
      "Epoch: 37 Loss: 0.00281374\n",
      "Epoch: 38 Loss: 0.00022420\n",
      "Epoch: 39 Loss: 0.00265477\n",
      "Epoch: 40 Loss: 0.00261956\n",
      "Epoch: 41 Loss: 0.00193465\n",
      "Epoch: 42 Loss: 0.00149407\n",
      "Epoch: 43 Loss: 0.00117304\n",
      "Epoch: 44 Loss: 0.00132931\n",
      "Epoch: 45 Loss: 0.00148914\n",
      "Epoch: 46 Loss: 0.00182200\n",
      "Epoch: 47 Loss: 0.00205640\n",
      "Epoch: 48 Loss: 0.00246282\n",
      "Epoch: 49 Loss: 0.00304634\n",
      "Epoch: 50 Loss: 0.00336984\n",
      "Epoch: 51 Loss: 0.00523694\n",
      "Epoch: 52 Loss: 0.01014617\n",
      "Epoch: 53 Loss: 0.00178755\n",
      "Epoch: 54 Loss: 0.00311726\n",
      "Epoch: 55 Loss: 0.00356659\n",
      "Epoch: 56 Loss: 0.00202855\n",
      "Epoch: 57 Loss: 0.00016656\n",
      "Epoch: 58 Loss: 0.00063572\n",
      "Epoch: 59 Loss: 0.00025617\n",
      "Epoch: 60 Loss: 0.00125415\n",
      "Epoch: 61 Loss: 0.00017073\n",
      "Epoch: 62 Loss: 0.00000706\n",
      "Epoch: 63 Loss: 0.00003720\n",
      "Epoch: 64 Loss: 0.00005118\n",
      "Epoch: 65 Loss: 0.00104916\n",
      "Epoch: 66 Loss: 0.00010582\n",
      "Epoch: 67 Loss: 0.00003232\n",
      "Epoch: 68 Loss: 0.00004023\n",
      "Epoch: 69 Loss: 0.00000249\n",
      "Epoch: 70 Loss: 0.00000596\n",
      "Epoch: 71 Loss: 0.00005106\n",
      "Epoch: 72 Loss: 0.00026834\n",
      "Epoch: 73 Loss: 0.00081614\n",
      "Epoch: 74 Loss: 0.00080879\n",
      "Epoch: 75 Loss: 0.00154294\n",
      "Epoch: 76 Loss: 0.00002355\n",
      "Epoch: 77 Loss: 0.00117002\n",
      "Epoch: 78 Loss: 0.00000778\n",
      "Epoch: 79 Loss: 0.00054360\n",
      "Epoch: 80 Loss: 0.00065323\n",
      "Epoch: 81 Loss: 0.00096482\n",
      "Epoch: 82 Loss: 0.00094714\n",
      "Epoch: 83 Loss: 0.00032785\n",
      "Epoch: 84 Loss: 0.00000642\n",
      "Epoch: 85 Loss: 0.00037092\n",
      "Epoch: 86 Loss: 0.00070198\n",
      "Epoch: 87 Loss: 0.00095773\n",
      "Epoch: 88 Loss: 0.00092563\n",
      "Epoch: 89 Loss: 0.00056154\n",
      "Epoch: 90 Loss: 0.00034890\n",
      "Epoch: 91 Loss: 0.00032956\n",
      "Epoch: 92 Loss: 0.00001653\n",
      "Epoch: 93 Loss: 0.00023010\n",
      "Epoch: 94 Loss: 0.00033413\n",
      "Epoch: 95 Loss: 0.00066217\n",
      "Epoch: 96 Loss: 0.00138738\n",
      "Epoch: 97 Loss: 0.00061605\n",
      "Epoch: 98 Loss: 0.00116573\n",
      "Epoch: 99 Loss: 0.00017644\n",
      "Epoch: 100 Loss: 0.00085248\n",
      "\n",
      "Duration: 180 seconds\n"
     ]
    }
   ],
   "source": [
    "epochs = 100\n",
    "\n",
    "start_time = time.time()\n",
    "\n",
    "for epoch in range(epochs):\n",
    "    \n",
    "    for seq, y_train in train_data:\n",
    "        \n",
    "        # 每次更新参数前都梯度归零和初始化\n",
    "        optimizer.zero_grad()\n",
    "        model.hidden = (torch.zeros(1,1,model.hidden_size),\n",
    "                        torch.zeros(1,1,model.hidden_size))\n",
    "        \n",
    "        y_pred = model(seq)\n",
    "        \n",
    "        loss = criterion(y_pred, y_train)\n",
    "        loss.backward()\n",
    "        optimizer.step()\n",
    "        \n",
    "    print(f'Epoch: {epoch+1:2} Loss: {loss.item():10.8f}')\n",
    "    \n",
    "print(f'\\nDuration: {time.time() - start_time:.0f} seconds')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**模型预测和评估**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 187,
   "metadata": {},
   "outputs": [],
   "source": [
    "future = 12\n",
    "\n",
    "# 选取序列最后12个值开始预测\n",
    "preds = train_norm[-window_size:].tolist()\n",
    "\n",
    "# 设置成eval模式\n",
    "model.eval()\n",
    "\n",
    "# 循环的每一步表示向时间序列向后滑动一格\n",
    "for i in range(future):\n",
    "    seq = torch.FloatTensor(preds[-window_size:])\n",
    "    with torch.no_grad():\n",
    "        model.hidden = (torch.zeros(1,1,model.hidden_size),\n",
    "                        torch.zeros(1,1,model.hidden_size))\n",
    "        preds.append(model(seq).item())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 188,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 逆归一化还原真实值\n",
    "true_predictions = scaler.inverse_transform(np.array(preds[window_size:]).reshape(-1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 对比真实值和预测值\n",
    "plt.figure(figsize=(12,4))\n",
    "plt.grid(True)\n",
    "plt.plot(df['S4248SM144NCEN'])\n",
    "x = np.arange('2018-02-01', '2019-02-01', dtype='datetime64[M]').astype('datetime64[D]')\n",
    "plt.plot(x,true_predictions)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 192,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtIAAAD2CAYAAAD7yGCjAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8rg+JYAAAACXBIWXMAAAsTAAALEwEAmpwYAAB3/klEQVR4nO3dd1xUV/r48c+hd1BBFFBQxAbYeyWJMaaYmN6r6WWzm81+N5vspieb/W22JJueaBLTjenVEsXeO9gABSkKAtL7zPn9cQdFBWFgYGbgeb9evNB779x75nGcOXPuc56jtNYIIYQQQgghrONi7wYIIYQQQgjhjKQjLYQQQgghRCtIR1oIIYQQQohWkI60EEIIIYQQrSAdaSGEEEIIIVrBzd4NaK3g4GAdFRXV4dctLy/H19e3w6/rjCRW1pF4WU9iZj2JWctJrFpOYmU9iZn17BWzrVu35mutQxrb57Qd6aioKLZs2dLh101MTCQhIaHDr+uMJFbWkXhZT2JmPYlZy0msWk5iZT2JmfXsFTOlVEZT+yS1QwghhBBCiFaQjrQQQgghhBCtIB1pIYQQQgghWkE60kIIIYQQQrSCdKSFEEIIIYRoBelICyGEEEII0QrSkRZCCCGEEK2SUVBOen65vZthN9KRFkIIIYQQVjteXsNVb63n4S922LspduO0C7IIIYQQQgj7+dt3SRwrraa4opaaOjMebl1vfLbrPWMhhBBCCNEmP+zM4cddRxjRJ4gak5kDuaX2bpJdSEdaCCGEEEK0WF5JFX/7LokRfYJ4+ephACTnFNu5VfYhHWkhhBBCCNEiWmse+3o3VbUm/nXNcPoH++Hn6UZSdom9m2YX0pEWQgghhBAtsnBLJsv35fHnWYOJDvHDxUUxNCyAJBmRFkIIIYQQonGZhRU8+8MeJvbvwa0To05sjw8PZO+REupMZvs1zk6kIy2EEEIIIc7KbNY8+uVOlFL88+phuLioE/viwgOoqjWTdqzr1ZOWjrQQQgghhDirD9als/FQIU9eMpSIbj6n7IsLCwQgKbvrpXdIR1oIIYQQQjQpNa+Mf/y6j3MH9+TqMRFn7O8f4oeXu0uXzJOWjrQQQgghhGhUncnMH7/cibeHKy9dEY9S6oxjXF0UQ3sHkNwFK3c025FWSs1XSuUppZIabHtaKZWtlNph+bmowb6/KKVSlVL7lVIXNNg+y7ItVSn1WIPt/ZRSGy3bv1BKedjyCQohhBBCiNZ5MzGNnZlFPD8njp4BXk0eFxceSHJOMWaz7sDW2V9LRqQ/AGY1sv0/WusRlp+fAZRSQ4HrgFjLY95QSrkqpVyB14ELgaHA9ZZjAf5hOdcA4Dgwty1PSAghhBBCtF1yTjGv/JbC7OFhXDIs7KzHxoUHUl5jIr2ga004bLYjrbVeBRS28HyXAZ9rrau11oeAVGCc5SdVa31Qa10DfA5cpoz7A+cCiyyP/xCYY91TEEIIIYQQtlRdZ+KRL3bSzdeDZy+Nbfb4+gmHu7vYhEO3Njz2QaXULcAW4I9a6+NAOLChwTFZlm0AmadtHw/0AIq01nWNHH8GpdTdwN0AoaGhJCYmtqH5rVNWVmaX6zojiZV1JF7Wk5hZT2LWcp0hVm61ZQTnr+dor/NAtd+0qM4Qq47m6DFbuL+G/bm1/GG0Jzs3r2v2+Dqzxk3BLxuSCSxKaZc2OWLMWtuRfhN4DtCW3/8C7rBVo5qitX4HeAdgzJgxOiEhob0veYbExETscV1nJLGyjsTLehIz60nMWs7pY2WqhY8uh/TVDJ54IURNabdLOX2s7MCRY7Y1o5BfF6/nurF9ePjKYS1+3NA9ayhxdSMhYUK7tMsRY9aqr6da61yttUlrbQbexUjdAMgG+jQ4NMKyrantBUCQUsrttO1CCCGEaIvFj0P6auPPGevt2xbhNCpq6nhk4U7Cgrz56yVDm39AA7FhgSRlF6N115lw2KqOtFKqd4O/Xg7UV/T4HrhOKeWplOoHxACbgM1AjKVChwfGhMTvtRHpFcBVlsffCnzXmjYJIYQQwmLL+7DpHZj0EITGQcZae7dIOImXftlHRkEF/7xqOH6e1iUuxIcHUlJVR9bxynZqneNpNkJKqc+ABCBYKZUFPAUkKKVGYKR2pAP3AGitk5VSC4E9QB3wgNbaZDnPg8BiwBWYr7VOtlziz8DnSqnnge3APFs9OSGEEKLLSV8LPz8KA2bAjGegrhq2f2Kkeri627t1woGtSclnwfoM7pjcj4nRPax+fFx4AGCscNinu08zR3cOzXaktdbXN7K5yc6u1voF4IVGtv8M/NzI9oOcTA0RQgghRGsdz4CFN0O3fnDlPHBxhchJxuj0kV0QMdreLRQOqriylj8t2kl0iC//N2tQq84xMNQfNxfF7uxiLozv3fwDOgFZ2VCIZmitu1S+lxDCSVWXwec3gLkOrv8cvIOM7X0nGb8lvUOcxTM/JJNXWs2/rhmBl7trq87h5e5KTKg/STldZ4VD6UgLcRYms+bOD7dw14Kt9m6KEEI0zWyGb+6BvD1w1fsQPODkPv9Q6B4NGc2XMBNd0+Lko3y9LZv7E6IZ0SeoTeeKCwsguQtNOJSOtBBn8fKS/fy2L48V+/Moqaq1d3OEEKJxK1+CfT/CzBdgwHln7o+cBIfXGR1uIRooKKvmiW92ExsWwEPnxrT5fPERgRSU13C0pMoGrXN80pEWogm/7D7Cm4lpjOobhMmsWZ9WYO8mCSHEmZK/gZX/gBE3wYT7Gj8mcjJUFRsj1kJYaK154pskSirr+Nc1w/Fwa3u3MNaywmFSdtdI75COtBCNSMkt5dEvdzKybxAfzR2Pr4crqw4cs3ezhBDiVEd2wjf3QZ/xcMm/QanGj4usz5OW9A5x0rc7svk1+Sh/OH8gg3sF2OScQ3r746K6zlLh0pEW4jQlVbXc89FWvD3cePPG0fh6ujExOpjVKfn2bpoQQpxUlgef3QA+3eHaj8HN85TdKbmlPPLFDia/tJxMczAERMiEQ3HCkeJKnvwumdGR3bh7Wn+bndfHw43oED+Su0hHurVLhAvRKZnNmke+2Mnhwgo+vWsCvQK9AJg2MJhle3PJKCgnsoevnVsphOjy6qrhi5ugogDu+BX8ep7YtSOziDdWpLJkTy7e7q7Umc28s/oQz0VOgoOJoHXTI9eiS9Ba8+evdlNn0vzr6uG4utj29RAXHsi6tK4x+CQj0kI08PqKVJbtzeWJi4cwrl/3E9unxoQAsEpGpYUQ9qY1/PQIZG6EOW9A2Ai01qxNzefG9zYw5/W1bDhYwO/Oi2HtY+dy5agIFm7JpLTXOCjPg4I0ez8DYWefbDzMqgPHePyiwUQF235wKDYsgNySavJKO/+EQ+lIC2GxYn8e/152gMtHhnPbpKhT9kX18CGimzerJU9aCGFvG9+C7R/DtP/DPPRyFicfZc4b67jxvY0cyC3j8YsGs+4v5/HI+QPp7uvB3dP6U2Mys/BYH+PxhyVPuivLKCjnxZ/3MmVAMDeOj2yXa8SHGxMOk7tAPWnpSAsBpOeX8/Bn2xnSK4AXL49HnXbbUynF1JgQ1qcVUGuS8lFCCDtJ/Q0WP4550MV8HXgzF/x3Ffd8tJXC8mpeuDyO1f93DndPi8bP82TmZv8QP2bF9uKVHWD2CXbeCYd11TKa3kYms+bRL3fi6qL4f1cNw8XGKR31hoYZExe7Qp60dKRFl1dRU8e9H2/FxUXx9s2j8fZofEWnaTHBlFbXsTOzqGMbKIQQAAVp6EW3c9w3mpnpN/LIl7txUYpXrhvBij8mcOP4yCZXpLt3ejQlVSbSfYc774TDta/A6+Oh5Ii9W+K05q05yOb04zw9O5awIO92u46/lzv9gn27ROUO6UiLLq1+wsWB3FJevW4kfbr7NHnspOhgXJTkSQshOl5pUQHH511BUZVmdsEDBAQG8d4tY/jl4alcNiIcN9ezf5wP7xPEpOgefFMYCUWHoSizg1puQ/t+BHMt7PrC3i1xSgdyS3l58QFmDg3lilHh7X692LCALlFLWjrSokubt+YQP+zM4dELBjFtYMhZjw30cWdEnyCpJy2E6DD5ZdW8/GsyO/57JX7lmbwR8iQv33UpX903iRlDQ626NX9fQjS/VViWDj+8vp1a3E5Kjxo1swF2fGpMuBQtVmsy88jCHfh5ufHiFWemL7aHuPBAsosqOV5e0+7XsifpSIsua11aPn//ZR+zYntx3/ToFj1makwIu7KKKKro3G8MomNlF1ViMkvHQJyUXVTJ098nM+Ufy/Ff8yJT2U7elOd44oG7mNC/R6s6QlMGBOPaK5YyfDGnO1l6R8oS4/e4uyF/P+Rss297nMxry1NJyi7hxcvjCPbzbP4BNtBVJhxKR1p0STlFlTz06Xb6Bfvy8jXDW/yhNG1gMGYN62S5cGEj3+/MYco/lvPVtix7N0U4gNS8Mh79cifT/98KPt6QwZN9d3OP248w9k7Cz3+gTedWSnHPOQPZaBpIRcoqG7W4gxxYTIVXKFfuOwft5mWMSosW2ZVVxGsrUrl8ZDiz4np32HVjLRMOk3I6d560dKRFl1NVa+Lej7dSXWfm7ZtHnzK7vTnDI4Lw93RjdYqkd4i2W51yjD8u3IHWsDX9uL2bI+xod1Yx9328lfP/s5Ifd+Vw04RI1t0cyA1HX4aoqTDrJZtc58K43qR4xeNXehBdlmeTc7a7umrMaSv4sTKerXma/d2mw+5FRhUPcVZVtSYeWbiTED9Pnp4d26HXDvLxIKKbN0mdfMKhrGwouhStNU9+l8SurGLeuXk00SF+Vj3ezdWFSQN6sOpAPlrrDskzE53T7qxi7v1oK9Ehfvh4uHaJ2e3iVFprNhws5I3EVFan5OPv5cYDCQO4fXIUPcwF8M7l4N8LrlkAru42uaariyJq9PmwYQH7Ny1h8Lk32eS87SpjHS615SytG8nIvkH8O28M77AY9v8CsXPs3TqHVFxRy5rUfBZtzSQ1r4wP7xhHoI9tXkPWiAsLlI60EJ3Jp5sOs3BLFg+dO4CZsb1adY6pMSEsTs7lUH45/a3siAsBRt3y297fRJCPBx/eMY4P1qXz7qqDVNWamixfJjqXkqpa7vxgC5vSCwn28+DPswZz04S++Hu5Q20lvH8D1JTDzd+CT/dmz2eNhITzqdrgQca2pU7Rkc7f/gN+2p3ocRfxyLgBXPxKIaUBPfHf+Zl0pC3qTGZ2ZhWz6sAxVqUcY2dmEWYN/p5uPHL+QKY3M5m+vcSFB/Br8lFKqmoJ8Or4jnxHkI606DK2Zhzn6e+TSRgUwu9nDGz1eaZZlgtfnZIvHWlhtbzSKm6Zvwmz1iyYO47QAC+GhQdSZ9bsP1rK8D5B9m6i6AALN2eyKb2Qv10ylBvH9z35BUpr+P4hyNkB130KoUNtfm0vL2+ygoYTUbidpOxi4iyTwhyR1pqavb+yRcVx38x4Ar3duSAujC9SJjE35QdUaS74h9q7mXaRU1R5ouO8JiWfkqo6lIJhEUE8eM4Apg0MYUSfoGZLI7anWMtra09OCRP697BbO9pTs9FVSs1XSuUppZIa2fdHpZRWSgVb/q6UUq8qpVKVUruUUqMaHHurUirF8nNrg+2jlVK7LY95Vcm9ctEO8kqruP+TrfQO9OaVa0fi2obVnPr28CGyh4+UwRNWK62q5fb3N3OstJr5t409kVpU35GR9I6uQWvNpxsPM6pvEHOn9Dv1LsSa/8DuL+Hcv8Lgi9qtDcFx5zBEHebD5Tvb7Rq2sHzdesJM2XgNvZBAb2NE8+EZMXxWMxmlTbB7oZ1b2HEqa0wk7s/j2R/2MOPfK5n00nIe+3o3WzOOc0FsL/53/Ui2/fV8vntgMo/MHMSYqO527USDkdoBdOr0jpaMSH8AvAYsaLhRKdUHmAkcbrD5QiDG8jMeeBMYr5TqDjwFjAE0sFUp9b3W+rjlmLuAjcDPwCzgl9Y/JSFOVWsy8+An2ymprOPr+22TJzYtJoSvtmVRU2fGw03m7IrmVdeZuOejrew/Wsq7t45hZN9uJ/ZFdPMmyMe9U3/YiJPWpxVwML+cf18z/NQd+3+B356FuCth6h/btQ1e0VNhzf+jcN8q0vNHExXs267Xa43KGhO7ly/kPGDkjGtPbB/cK4DBcWPYeSCGuG2f4DrxQeiEY3Baaw7klp0Ydd54qPDEZ874ft25dkwfpg0MYWCon8PO1wnx96RXgFenLoHXbEdaa71KKRXVyK7/AP8HfNdg22XAAq21BjYopYKUUr2BBGCp1roQQCm1FJillEoEArTWGyzbFwBzkI60sKEXftrLpvRCXrluBEN6B9jknFNjgvloQwbbDh/vtLerhO2YzZpHFu5kXVoB/7p6OOcM6nnKfqUU8eGB7MqSjnRX8PHGDIJ83LkovkEpsry98NWd0Hs4XPpa+3cMw8egXdwZ77KPd1Yf5MXL49v3eq3w5so0xtVsorJHDN7do07Z9/CMGBbsmcLw/PeNhVrCRtiljbZ2vLyGNan5rDpwjNUp+RwtqQIgpqcfN0+IZNrAEMZFdcfbw3nmUsSFB3TqQYJW5UgrpS4DsrXWO0/7FhQONFx3NMuy7WzbsxrZ3tR17wbuBggNDSUxMbE1zW+TsrIyu1zXGTlCrNZm1/LB7houiHQjsCiFxMQUm5zXVKdxUfDxsq1UDfSwyTkdIV7OxhliprXmk701LDtcxzWD3OlRmkpiYuoZxwXU1bDuaC1LfluBh2v7daKcIWaOoj1iVVRlZnFSJedHurFh7WoA3GpLGL31T7hqN7ZGPkT1uk02vWZTRvpFc27FPmZtPsw4n2MEebb+7pqtY5VfaWbB6kJ+57GPHP9LOdjIubN7TKGm+COyfvgnhwfdZbNrd5SysjJ+W76CtGIzu/NNJOWbSC82owFfdxjaw5UL+3oQ18OVHt4ayEPn5LExx94tt45vTQ2pebUsXrYCT7e2vbc54vuX1R1ppZQP8DhGWkeH0lq/A7wDMGbMGJ2QkNDRTSAxMRF7XNcZ2TtWSdnFLFi2jgn9u/P63PE2zxUbnbqOwzVmEhKm2OR89o6XM3KGmL2+IpVlh/dz55R+PHHxkCZvwVb0OMJPh7YROnBku044dIaYOYr2iNX/fkvBpA/w56um0C/YF0y18PEVUFsIt/3MxD5jbXq9s6q7kIB1/8NdV7NfR/PnhMGtPpWtY/XAJ9uY6roaN0z0Pe9O+kad+T4bPqSUJa+N4dxjq+k/931ws82gRkdIyi7mfwvXc6C4htKqOlwUjOgTxGVjQ5g2MIThEUFtmsvjSGp75vJd2haCY4YzOrJtFWgc8f2rNT2LaKAfsFMplQ5EANuUUr2AbKBPg2MjLNvOtj2ike1CtMnx8hru/Xgr3X09eO2GUe0y4WJqTAi7s4spLJflwkXjFm7O5J+L9zNnRBiPX9R0JxpOLqcrEw47L5NZ89mmw0yNCTY60QCLH4dDq2D2K9CRnWiAyMkocx339i/k4/UZlFTVduz1m7DhYAE/7T7CvWGp4BkIfcY3elxMqD9ZfefgU1dMye6fOriVrVdZY8yXOFBo4uL43rxx4yi2/20mX98/md/PGMiovt06TScaTr63JWV3zjxpq3sXWuvdWuueWusorXUURjrGKK31UeB74BZL9Y4JQLHW+giwGJiplOqmlOqGMZq92LKvRCk1wVKt4xZOzbkWwmoms+Z3n28nr6SaN28aTbCfZ7tcZ2pMMFrD2tT8djm/cG7L9uTyl292MzUmmP931XBcmvlgjOjmTaC3TDjszJbvyyOnuIobx0caG7a8D5vegYkPwogbOr5BfcaBcuG6npmUVtfx6cbDzT+mnZnMmmd+2ENEoCdDyzbCgHPPuhjNjNnXk6eDOLpyfge2sm3eTEwlu6iSB0Z68dKVw7govrddFkvpKKEBngT7eXTa97aWlL/7DFgPDFJKZSml5p7l8J+Bg0Aq8C5wP4BlkuFzwGbLz7P1Ew8tx7xneUwaMtFQtNHLS/azOiWf5+bEMqIdb5EPiwgi0NtdlgsXZ9iaUcgDn24jNiyAt24a3aLKLvUTDmVEuvP6eEMGoQGezBjSEwrS4OdHYcAMOP9Z+zTIKxB6xRN6fCtTBgQzb80hqmpN9mmLxeebD7P3SAkvTdao8lyIueCsxw/oFURSjwvod3wtBXmOf0M7o6Cct1Yd5LIRYQzu7jwTBttCKUVsWCBJnbRyR7Pv7lrr67XWvbXW7lrrCK31vNP2R2mt8y1/1lrrB7TW0VrreK31lgbHzddaD7D8vN9g+xatdZzlMQ9aKn4I0Sq/7D7Cm4lp3DC+L9eO7duu13J1UUwZEHxiuXAhAFJyS7njgy2EBXkz/7ax+Hq2fCpKXHggB3JLqa6zb2dG2N7hggpWpRzjurF9jVSznZ+DNhsVOlzs2KGKnAxZm7l/ah+OlVbzzXb7dUaLK2p5efF+xvfrzmTzVkBBzPnNPi5m5t24KxNbf3in/RvZRs/8sAd3F8XjFw2xd1M6VFx4ACm5pXb/otYepACu6DRSckt59MudjOwbxFOzbb8aWGOmxgRztKSK1LyyDrmecGw5RZXcMn8THm4uLLhjnNVpRfHhgdSajBUORefy6abDuCjF9eP6GqsX7l4I/aZBQO/mH9yeIidBXRUTvQ8THx7I2yvTMJntMzDw398OUFxZy1OzY1EpSyB8NPgGN/u4PoPHkOk1iIjD35JXWtUBLW2dZXtyWb4vj9/PGEhogJe9m9Oh4sJOrt7a2UhHWnQKJVW13PPRVrw93HjzxtF4unXMCM+UGONNflWK5El3dUUVNdw6fxNlVXV8cPtY+nT3sfocwyJkwmFnVF1nYuGWTGYM6UmvQC/I2gLH02HYtc0+tt31nQiAyljHfQnRpBdU8GvS0Q5vRkpuKQvWZ3D9uL4MDaiG7G0w8OxpHQ15j7uZoSqdb39Z3I6tbL2qWhPP/JhMTE8/bpscZe/mdLj61VuTcjrfe5t0pIXTM5s1j3yxk8OFFbxx4yjjg6qDRHTzoX+Ir+RJd3GVNSbu/HALGQUVvHPLGGIty+JaSyYcdk6/Jh2lsLzm5CTDXV+AmxcMvsS+DQNjxDdkMGSs44LYXvQL9uWtlWkdmq6mtebZH/fg6+HKH2cOgtSlgIaYllfZDZ5wI3W44Z70OXkljjcq/dbKNDILK3nmsljc7bxstz2cfG/rfHnSXe9fU3Q6r69IZdneXJ64eAjj+rWtRmVrTIsJYcPBAslr7aLqTGYe+mwbWw8f57/XjWBidOtXupQJh53TJxsOE9nDhykDgo260clfw6ALwcs2K622WeQkOLwBV8zcPa0/u7OLWZta0GGXX7Y3j9Up+fzh/IF09/WAA4vBr5exymNL+XSnOnoms9Ua3k7c336NbYXMwgreTEzjkmG9mRTdfKpKZ6SUIi48gGQZkRbCsazYn8e/lx3g8pHh3DYpyi5tmBoTTFWtma3px+1yfWE/Wmue+CaJZXvzePbS2FOXfG6luPBA9h+VCYedxf6jpWxKL+TG8X2NEohpy6GiwDHSOupFToaaUji6mytGhdPT35O3VqZ1yKWr60w8/9MeYnr6cdOESOOLRtpyY5Khlcuk+467hWBVQtbmH8h1oFHpZ37Yg6uL4omLu9YEw9PFhQWy70gptSazvZtiU9KRFk4ro6Cchz/bzpBeAbx4efxZF7toTxP698DdVUmedBf0ryUH+GJLJr87dwA3T4yyyTllwmHn8snGDDzcXLhqtGVNsl0LwbsbRJ9n34Y1ZMmTJmMdnm6uzJ3SjzWp+ezKKmr3S89fk05GQQVPzh5qpDwc3gDVJVblR58wYAYm7x5crlbyZmLHfBFozvJ9uSzbm8vvzouhd6C3vZtjV7HhgdSYzBzI7VzvbdKRFk7rxZ/3ooG3bx6Nt4f9ykf5eroxqm83yZPuYj5cl85rK1K5flwf/nD+QJudV1Y47DzKq+v4els2F8f3NlIWqkth308Qe4VjLWcdGA5BkZCxFoAbxvfF38ut3Uel80qqeG15CucPDWVqTIixMWUxuLhD/wTrT+jqjuvw65jhuo2fNyVztNi+o9JVtSae/n4P0SG+3DG536k7q0sJKN4LOdshbx8UHoLSo1B5HGorjcounUxcmJHKlNzJ8qRbXuBUCAdyuKCCJXtyuT8hulXVEWxt2sAQ/rl4P8dKqwnxb5+VFIXj+HFXDk//kMz5Q0N57rI4m94N6dNdJhx2Ft/vzKGsuo6bJlhq2u/7CeoqYdg19m1YYyInw4FfQWv8vdy5eUIkb65M41B++cnlzG3sH7/up9ak+WvDlIcDSyBqMnj6t+6kI67HbcPrXMQ63kgcyrOXxdmmsa3wzqqDHC6s4OO5489clGnRHYxKWQLbz3ICV09w9zImprp5gpu38dvd8tvN6+TP2Y4LGWLkwdvprm29qB6++Hm6kZRTzDX0sWtbbEk60sIpvb/uEG4uiltsdDu9rabFGB3ptan5zBkZbu/miHa0LjWfR77YyZjIbvzv+pHG4ho2VD8pR0aknZvWmo83ZDC4lz+j+nYzNu5aCEF9oc94+zauMZGTYOencGw/9BzM7ZP78d6aQ7yzKo2/XzHM5pfbfvg4X23L4r6EaCJ7WDrqx9Mhfz+Mvq31J+4VD73iubN4PeduuoB7p0cTFtTxKRWZhRW8viKVi+N7nyiTekLqMkhZQmbEHPpMvc4Yga6rNr5k1VWf+fe6KqitMn7X/9RWQVVJ0487XfBAGHMHDL/OSC2yAxcXxdCwgE43SCAdaeF0SqpqWbg5k0uGhTlMUfvYsAC6+bizKuWYQ3ekk7KLCfR2d4hRfGeUlF3M3R9tJSrYh/duGYuXe/ukFMWFBzJ/zSGq60wdVhNd2NaOzCKSc0p4bo7ljkVpLhxcAVMesfvIYKMiJxm/D6+DnoMJ8ffk6tERfLkliz/MGEhPG77Xms2aZ37YQ09/Tx44Z8DJHQeWGL9bkx/d0PAbiFj8F6I5zBuJqTw/J75t52uF537cg4tqZIKhqQ4WPwHd+nGw/030GdT8yo1W0xpMNZYOdyWk/gZb5sOvj8GypyHuShgzF8JHdfhrMS4skE83ZWAya1xdHPD/QStIjrRwOl9syqS8xsTcKf2aP7iDuLgopsSEsDrFcZcLL66s5bp3NnDdOxuoqKmzd3OczuGCCm57fzMBXm58eMc4An3c2+1a9RMODxyVFTOd1ScbD+Pr4crl9V+sk782lgR3xLQOgO79jZJzGetObLp7Wn/qzGbmrT1k00t9sz2bHZlF/HnWYPw8G4znpSyG7tHQI7ptF4i/Glzc+EvYDr7YnEl2USMjtO0ocX8eS/bk8tB5A84cDd/2IRzbBzOfQ7u003uIUkZKh1cg+PeCkTfCXb/BPatg+PWQ/C28dy68PQ22vA/VHfc+ExceQFWtmYPHOs97m3SkhVOpM5n5YF064/p1P7FSkqOYGhPMsdJq9jvojOSPN2RQVl1HdlEl/1l6wN7NcSr5ZdXcMn8jdWYzC+aOa/fZ9zLh0LkVVdTww84c5owMP9lR3LXQqIscMsi+jWuKUsaodPraExPdInv4clF8bz7ZcJjiylqbXKasuo5//LqP4X2CTn7JAKgph0Or2z4aDeAXAjEXMLl8GW6YeW15atvP2ULVdSae/j6Z/sG+3Dml/6k7q4phxYsQOcU+i/H0Hg6z/wt/3AcX/wvMJvjx9/CvwfDTHyE3ud2bENcJ39ukIy2cyuLkXLKLKh1qNLreVEse3OoDjlcGr7LGxPw1h5g+MITrx/Vl/tr0Tpen1l7Kquu4/f3NHC2pYv5tYxnQs5WToKzQt7sPAV5unerDpitZtDWL6jrzyZUM81MhZxvEO+hodL3ISVCaA0UZJzbdOz2asuo6PtmYcZYHttzrK1LJK63m6dlDjbra9Q6uBFO1VasZntWI63GtyOMvg47w5ZZMMgsrbHPeZry3+hDpBRU8fWnsmRMMV71s1BC/4AX7pvd4BcDYO+G+tTB3KQy+GLZ9BG9OgnkzYefnRg52O4gO8cPL3aVTrXAoHWnhVOatOUjf7j7MGBJq76acoXegNzE9/VjlgGXwFm7JpKC8hvsTonls1mC6+Xjw+De7MZkdMw3FURSW13DvR1vZc6SEN24cdXLSWDtTShEfEShfdpyQ1ppPNx5mVN8ghlrKfbF7IaCM3FRHFjnZ+N0gvSMuPJCpMcHMX5NOVW3bFgnKKChn3upDXDEqnJGn/19KWQwefifb0FYxF4B3d652W4WLUry+ov1HpbOLKvnf8hRmxfZi2sCQU3cWHoKNb8GIGyBsRLu3pUWUgj7j4Iq3jVHqmS9AeT58cw/8e7CRy11g2xKIri6Kob0DSOpEKxxKR1o4je2Hj7PtcBF3TI5y2EkKU2NC2HSosM0fOLZUazLzzqqDjI7sxrh+3Qn0cefJ2UPZlVXMgvXp9m6eQ6ozmflwXToJ/1zBhoMF/OPKYZw7uGO/vNWvcFhT17lWAevs1qcVcDC/3FilD4w0iV1fQP/pEND2lS/bVchgo6KDpZ50vfsSoskvq2bR1qw2nf75n/bi7qp4bNbgU3doDSlLIfoc29XXdvOA+KvxTlvM7aMCWbQ1q91HpZ//cQ8Af5s99MydS5806mOf+7d2bUOr+XSHSQ/CQ1vhlu+h3zSj4/+/UbDgMtjznbHqpA3EhQeyJ6cEcycZyJGOtHAa89Ycwt/LjavHOG79yWkDg6muM7PpUKG9m3LC9ztyyC6q5P6E6BP1jmcP6830gSG8vHg/R4o7diKOo1uXls/Fr67hqe+TGRYRxC8PT+Wq0REd3o74TroKWGf38cYMuvm4n1wuPmuLUdbN0dM6AFxcoO+kU0akASb278HwPkG8s+ogda1c3nl1yjGW7snlwXNjzqwAkpsEJdnGKLItjbgBTNU80HM3Li6K/y1Pse35G1h14Bi/JB3lwXMGEH76BMP0tbD3e5jye8f/MqWU8aXvmgXwh2Q496/GqPTCW+A/sbD8eSjKbNMl4sICKauuI6OD0m3am3SkhVPILqrkl6SjXD+uL76ejlu1cXy/Hni4ujjMKodms+bNlWkM7uXPuYN7ntiulOL5OXGYtOap79p/gokzyC6q5IFPtnHDuxspr6nj7ZtH89HcccSEtn9OdGNkwqHzySupYklyLleP6XOyNOLuhcZCGUNm27dxLRU5CQoPQsmRE5uUUtw3vT+HCyv4Jemo1aesNZl59oc9RPbw4Y4pUWcecGCx8dtW+dH1eg+HnkMJ2P8lN4zry1fbsskoKLftNTg5wTCqhw93TTttgqHZDIsfh4BwmPigza/drvx7wbQ/wcM74YaFEDbSyPN+ZRh8ep1RrtBs/d3X2HAj5amzpK5JR1o4hQ/XpQNw66Qou7ajOd4erozt143VKY4x4XDp3lxS88q4r8FodL0+3X34/YyBLNmTy+Jk6z8cO4uqWhOvLEvhvH8l8tu+XP54/kCWPTKdC2J72XTFQmvVTzjcldU5Pmy6gs83Z1Jn1lw/zrKSoakWkr6CQRcaE7ycQcN60g3MHNqL/iG+vLUyzeoSn59syCAlr4y/Xjy08broKUug9wjwt3H6lFLGqHTWZh4aZsbNRfG/dqjgMW/NIQ7ml/P0pbFnPr9dX8CRHXDeU+DhpPX7XVyNaio3fAG/32XUQs/eCp9eDa+MsEyibPld2Jie/ni4unSdjrRSar5SKk8pldRg23NKqV1KqR1KqSVKqTDLdqWUelUplWrZP6rBY25VSqVYfm5tsH20Umq35TGvKnt+cgmHVF5dx2ebDjMrrteZt8wc0NSYEPYdLSWvpH1mPbeU1po3EtPo292Hi+Mbv504d0o/Bvfy56nvkimr7lq1pbXW/Jp0hPP+tZL/LDvAeUNC+e2PCTx0Xky7LbRiDWOFQ5lw6CzqTGY+23SYqTHBJ5fUTlthVGlwhrSOer2GGZP+TkvvcHFR3DOtP8k5JVYNFBSW1/DvpQeYGhPMjCE9zzygohCyNtum7F1j4q8B5UqP1K+4cXwk32zPJj3fdqPSOUWV/O+3VGYODSVh0GnPr6YcfnsGwkYZta07g6C+cN7fjLSPqz+A7lGw/Dn47LoWn8LDzYXBvf07zYTDloxIfwDMOm3bP7XWw7TWI4AfgSct2y8EYiw/dwNvAiilugNPAeOBccBTSqn6KbtvAnc1eNzp1xJd3JdbMimtqnPIkneNOVEGz86j0uvTCtiZWcTd0/o3uYy1u6sLf78intzSKl5evL+DW2g/B3JLuWneRu79eBv+Xm58dtcEXr9hlMN9UYuXCYdOY8X+YxwprjpZ8g6M0UjvbjBghv0aZi1XN2MJ89M60gBzRoYTGuDJm4ktr+Tw76X7Ka8x8eQlQxu/w5O6zFioxtb50fX8Q4347/yCe6dF4u6qeNWGudIv/LQXs9b87ZJGJhiufRVKj8Csvxv5552JmwfEXg63/gDnPweZG+FYy9cniA0LJCm7xGEXMLNGs/+yWutVQOFp2xoWAPQF6iNxGbBAGzYAQUqp3sAFwFKtdaHW+jiwFJhl2Regtd6gjWguAOa09UmJzsNk1ry/Lp2RfYM6rPRYWw3pFUCwn4fd86TfSEwj2M+z2YlyI/t24+YJkXy4Pp2dmUUd0zg7Ka6s5ZkfkrnwldUkZZfw7GWx/PjQFCZG97B30xoVJxMOncbHGzIIDfA8OepaXQr7fjI6G7aqRNFRIidB3p4zbtd7urly55T+rD9YwI4WvFfsySnh042HuXlCZNNzDQ4sBt8QI/+2vYy4AUpz6HlsAzeNj+Tb7dk2WVlvTUo+P+0+wgPnDKBP99PSNoqzYe0rxr9/3wltvpZDG3YtKBfY9XmLHxIXHkBxZS1Zx51/snurZ20ppV4AbgGKgXMsm8OBhtM5syzbzrY9q5HtTV3zboyRbkJDQ0lMTGxt81utrKzMLtd1RraI1bbcOjIKqrm4j8mp4h7jb2L5nhyWryjCpYXZSrZ8bR0qNrEmtYqrB7qzYe3qZo+f6Kv53kPx0IL1PDXRy2HLC56upTEza83qrDoWpdRQVgMJfdy4IsYd/+p01qxOb/d2tlZFuTESvWj5JvL72GY5YXkPa7mWxiqvwsyqA5VcGu3OmtWrAAg9uoIhdZVsMw2kxMniHVjkzUhg98/vUhA8/pR9EXUaHzd4btEGHhp5svrG6bHSWvOPzVX4uMFY7zwSE88cWFBmE5P2/UpBj3HsW7WqvZ4OyuzLJDc/Cpf8l/joR3BT8MRna7hnmFfzD25CnVnzt7WV9PRRDCaLxMTsU/YP3vsfeprq2OR3IVVN/Pt3pv+Lw4KG47PpIza4TDE61c2oLjYmKX6xZB1jerW8K+qIMWt1R1pr/QTwhFLqL8CDGKkb7Upr/Q7wDsCYMWN0QkJCe1/yDImJidjjus7IFrF68+31hAe58MjVCU2mJziiAv8s1n+5k54DR7V4KXNbvrY+/2gr/l75PHnDOfh7tawDpnod4d6Pt3HQLfLMmecOqiUx25pxnKe/T2Z3dgVjo7rx1OxYh1tevilaa57fvIQav14kJMTb5JzyHtZyLY3VS7/sw8XlIH+5Zhq9Ai2ds49ehaC+jLr0XvuuYtcatRNg9zPE+5dAI88/2bSf1xNT6RM7hugQP+DMWP28+wj7Crfx/Jw4Lp4QecY5AMhYD6vK6DXtFnrFnnkdm6q8jtDtH3PZHaNINuXw3uqDPH/9yfZb6+2VaRwp38f828acWWM+eyskJsLk3zPh/GubPEen+r/Y/X74+i4S+nlCVPOL6kyoNfHixsXobhEkJAxu9vh6jhgzW/RMPgHql2vKBhoW+Y2wbDvb9ohGtgtBUnYxGw8VctukKKfqRIN986RT88pYvOcot0yMbHEnGuCC2F7MGNKTfy890GHL6banvJIqHvliB1e+uY5jpdW8ct0IFt4z0Wk60WCZcBgmEw4dWXWdiYVbMpkxpOfJTnRZHhxcYUwwc7ZONIC7F0SMaTRPGuC2yVF4uLrwzsqDje6vqjXxwk97GdzL/2QFk8akLAYXN4g+1xatPrvhN0BdFSR/y93T+uPp5sqrv7UuV/pocRWv/JbCjCE9z+xEa22sCOgbAlP/aIOGO4nBF4O7b4vTO7zcXYkJ9e8US4W3qneilIpp8NfLgH2WP38P3GKp3jEBKNZaHwEWAzOVUt0skwxnAost+0qUUhMs1TpuAb5r7ZMRncu8NYfw9XDl2nGOuwBLU3oGeDG4l79d8qTfXpmGh6sLt0+2bnKmUopnLotDKXjyuySnnQRSU2fm7ZVpnPNyIj/uOsL9CdH89sfpXDYi3K7l7FprWEQg+47IhENH9WvSUQrLa06dZJj0lTGBzpmqdZwuchIc2Wnkep8m2M+Ta8b04evtWRwtPrM60TurDpJdVMnTl8aePU3swBLoOxG8OuDLbfgoCB4EOz4l2M+TWyZF8v3OHFLzrJ9/8MLPe6kza568JPbMnXu+g8Pr4ZwnnKfkoS14+Bq10pO/g9qWVayKCwsgKbvYaT9r6rWk/N1nwHpgkFIqSyk1F3hJKZWklNqF0Sl+2HL4z8BBIBV4F7gfQGtdCDwHbLb8PGvZhuWY9yyPSQN+sdFzE04st6SKH3bmcPWYPgRYMarqSKYNDGFL+nEqajqurFxOUSXfbM/murF9CPbztPrx4UHePHL+QFbsP8bPu52vtvSK/XnM+u8q/v7LPiZG92DJH6bxf7MGO/QiPs2RCYeO7ZMNh4ns4cOUAcEnN+5aaJSR69nyW9YOJ3ISaBNkbmp0993T+mPWMH/toVO25xRV8kZiKhfH92ZC/7NM4i3KhLxk2y/C0pT6mtKZG6AgjXumRePt7sorv1lXV3pdWj4/7MzhvunR9O1x2gTD2ipjKfCesTDqFhs23kkMvxaqi+HAry06PC48kILyGnJLqtu5Ye2rJVU7rtda99Zau2utI7TW87TWV2qt4ywl8GZrrbMtx2qt9QNa62itdbzWekuD88zXWg+w/LzfYPsWy7mitdYPamf/aiJsYsH6dExac/vkKHs3pdWmxgRTYzKzsQOXC393tXGrtS05zrdNiiIuPICnf0imuLLWVk1rV+n55cz9YDO3v78ZgPdvH8t7t44lqr6erxOrX+FQ0jscz/6jpWxKL+TG8X1xqR95zU+FnG1GJQNnFjEOlGuT6R19LPXpP9mQQXHFyfeJl37Zh9bwl4ua+RKRssT43V71oxtTX11i52d09/Xg1klR/Lgrp8VfUmtNZp76Lpk+3b25LyH6zAM2vgVFGXDBC8YiJl1Nv+ng18so+9gCcZ1khUPnSjwVXUJljYlPNh7m/CGhRPZw3o7Q2KjueLq5sPpAx+RJF5bX8PmmTC4dEUZEt9avoOXm6sLfLx9GQVk1/1y8r/kH2FFVneYfv+5j5n9WseFgAY9fNJhffz+Nc05fGMGJRfbwwd/LTZYKd0CfbMzAw82Fq0Y3SD/bvRBQEHdlk49zCp5+EDaiyY40wL3ToymvMfHRhnQANqcX8v3OHO6ZHt38e1DKEgiKhOCBtmtzcwJ6G/nYOz8Hs5m7p/bHx92VV1qYK/3B2nRS8sp46pLYMxdtKjtmrPAXcwFEn9P4CTo7F1eIv8r4ty0vaPbwIb0DUAqnX5hFOtLC4Xy9PYuiilrunOoclSOa4uXuyrh+3TssT/qDtYeorDVx3/RGRkqsFB8RyG2T+vHJxsNszThug9bZ3g87c3hsdSVvJqYxe3gYKx5N4O5p0Xi4da63NZlw6JjKq+v4els2F8f3pruvpU601kZaR79pRqfN2UVOguwtTea8Dg0LIGFQCO+vTae6TvPMD8n0DvTi3unNvHfXVsLBlcZodEfPWxh+PRRnQvpquvl6cNvkKH7adYR9R88+6S23pIr/LjvAuYN7MmNoI0uZr3gB6iph5vPt1HAnMfw6MNdB8tfNHurj4UZ0iJ/Tv7d1rk8c4fTMZs28NYeIDw9kbJRzLMByNtNiQkjJK+NIcfsWnS+rruODdenMHBra9MIHVvrjzIH0DvDi8a93U2tynIluWmv+uXgfD322nW6eiq/vn8S/rhlOz4DW14R1dPERgeyVCYeYzZq3Vqa1aDGQ9vb9zhzKquu4aUKDqhRZW+D4IedP66gXORlMNUY5tybcOz2agvIa/r21iqTsEv5y0RB8PJqZk5C+xuh0ttdqhmcz+GLwDIQdnwJw19T++Hm68cqys49Kv/jzXmrNmqdmN7KCYe4e2PYhjJkLIR04wu6IesUbOeItTO+IDw90+sod0pEWDmXlgWMcPFbO3Cn9nLLCwummDQwBaPf0jk83ZlBSVcf95wyw2Tl9Pd149rI49ueWnsi9treaOjN//HInr69I4/pxffjrBC+nWfGyLWTCoWFTeiEv/bKPa95az8Itmc0/oJ1orfl4QwaDe/mf+vrbvRDcvIzqBZ1B3wmAOmt6x/h+3RnZN4j9x82MjerG7GEtGIk/sBjcfSBqiu3a2lLu3hB3Oez9HqpLCfLx4PbJUfySdJQ9OY136DYcLOC7HTncO63/memGWsOSJ8AzABIe64An4ASGXQNZm6Gg+aXkY8MCOFpSxbFS551wKB1p4VDmrTlEaIAnF8V3gtuiwMBQP3r6e7KqHdM7qutMvLf6EJOiezCiT5BNzz1jaCizYnvxyrIUMgrKbXpua5VW1TL3w818vS2bR84fyIuXxzvNCoxtJRMODYu2ZuHn6cbYft34v0W7eOaHZOrscLdkR2YRyTkl3DQh8uQXflOtUfZu0IWdp+yZdzcIjYWMtU0eopTi4fNi8HSFp2bHNj8AorVRP7rfdKNetT2MuBFqK4xSdcCdU/rj7+nGK78dOOPQ+gmG4UHe3JfQyEBFylJIWw7T/ww+3du75c4h/mpAGWlOzaiv65/sxHnS0pEWDmPf0RLWpOZzy8SoTpPnqpRiakwIa1LzMZnbpyDNV1uzySut5v7G3uRt4OlLY3F3deGv39qvtnRuSRXXvr2BdWkF/L+rhvG782I6xR2Llors7oO/Z9eecFheXcfPu49wcXxvPrx9HHdM7sf7a9O59f1NHC+v6dC2fLzhML4erswZGX5yY9oKqChw7trRjYmcZJTAMzVdwSdhUE/enOHTssWOju2DosMwsIPK3jUmYix0j4YdnwEQ6OPO7VP6sTg594wO3YL1GezPLeXJ2UPx9jhtgqGp1hiN7h4NY+/sqNY7vsBwY57Ari+ML05nMTTM+NKZ3MTdAGfQOXorolOYv+YQXu4u3Dj+LCthOaFpA4Mpqqhtl2/cdSYzb69KY1hEIJMHnKVmaxv0CvTi/2YNYnVKPt/vzGmXa5xNal4pV7yxjvSCcubfNpZrxjjfAj1t5eKiiA0P6NIj0r8mHaWmppo/1r6NW9YGnpw9lH9eNYzNh45z2etr2X+0Y9Jeiipq+HFXDnNGhuPXsD757oXGCO6AGR3Sjg4TOQlqy+HIrrMe5tLSL7YHFhu/O6p+dGPqa0pnrIHj6QDMndIPfy83/tsgVzqvtIr/Lj3A9IEhzGxsguGW9yH/AMx8Dtw8OqjxTmLYtcZ8gazNZz0swMudqB4+Tv3eJh3pLsjcTiOjbZFfVs23O3K4anQEQT6d6w1p8oD2Wy7856SjZBRUcH9CdLuO0N44PpIRfYJ49oc9FFV03OjfpkOFXPHGOqrrzCy8ZyLTLTnnXVF8eCB7j5Y61MTPjrRoaxZXBe6n5/6P4YuboeQIV4/pw+f3TKCq1sQVb6xlcXL7LyK0aGsW1XVmbprQYCXD6jLY9xPEXt75OlR9Jxm/z5LeYZWUJRAaB4ERtjlfaw2/DlBGKTwg0NuduVP6sXRP7olO3Us/76O6zszTlzaSslJ5HBJfhKipMOiiDm68Exh6Kbh5n4jv2cSFBzr13TbpSHcxP+zMYcwLy9ic3nGLhLTExxsyqKkzW72stTMI9vMkNiyAVQdsmyettebNxDT6h/gyc2gvm577dK4uihcvj6eospa//9wxtaV/3n2Em+ZtJNjfk2/un9Sy28adWHxEEDV1XXPCYdbxCtYfLGCu/0bwCjLyW7++C8wmRvXtxg8PTWFAqD/3fLSVV5altNtggdaaTzceZnRkN4b0bpAHve8no02dLa0DwD8Uegw464TDFqs8Doc32Hc0ul5gBPSfblTvMBtfTu+Y0o8ALzf+u+wAmw4V8vX2bO6a1o9+jS3stOplqCyCC17s+BJ+zsDT36iQkvw11J198CUuPJCs45UdOkhjS9KR7kK01ry+IpXC8hrueH8zu7Mc4xtgVa2Jj9ZncO7gnkSH+Nm7Oe1iakwI2w4fp6zadsuFJ+4/xt4jJdw7PfrkqmrtaGhYAHdO6ccXWzLZeLD5YvttMW/NIR74dBvx4YF8de8k+nRv/QIznUVXnnD49bZsAihjwPFVxkjixf+C9NWw6p8AhAZ48cXdE7hiZDj/WXaABz7dRrkN/6/VW59WwMH88jPTz3Z9AUF9oc94m1/TIUROgsPrT3Q4Wy1tubHseEeuZng2I240ViI8vB4w0gzumtqfZXvz+MMXOwgL9OKBxiohFaTBxrdh5E3Qe1gHN9qJDLvW+PJUv4plE+LC6iccOmeetHSku5AtGcfZd7SUh8+LIcDbnVvmbyTFAUa3vt+RQ0F5DXOndL7R6HrTYoKpNWmbdkDfTEyjd6AXc0aEN3+wjTw8I4aIbt48/s1uqutMNj+/2ax5/sc9PPfjHmYODeWTO8fTzbeT3Spvpa464VBrzVfbsng4dDfKVGMsqDHiBuN34ktwaBVgLID0r2uG89eLh7A4+ShXvrmOzMIKm7bl440ZdPNxP7WqUFkeHFxhVCpw6aQfqX0nQVURHNvbtvMcWGLkkUeMtUmz2mzwJeDhf6KmNMBtk6MI8nEnu6iSJ2cPbbwm9tInwdUDzv1bBzbWCUWfC74hzdaUjg1z7qXCO+n/etGYBeszCPBy497p0Xxy53jcXF248b2Ndi1rprVm/tpDDO7lz6To9pks5whGR3XD293VZukdW9IL2ZReyF1T+3dohRMfDzeemxNH2rFy3l5p29rS1XUmfvf5dt5bc4hbJ0byxo2jz1yGtwurn3C428kXL7DWlozjZBRUMMdlFfQcCr2HGzsuetlIOfjqLmN5ZowqOXdO7c8Ht48jp6iSS19bw7o028xNyCupYklyLleP6XPq6zLpa9DmzpnWUS+yPk+6DekdZhOkLoUB5xtLSTsCDx+InQN7voUa43PQ38udFy+P597p0VwQ20jK3KFVsO9HmPoHI+1FNM3VDeKuggO/GiPTTejm60F4kDdJMiItHFleaRW/JhmTc7w9XIkK9uXjueOpMZm54d2N7b7yXlPWphaw72gpd3SSBVia4unmyoT+3W024fCNxDS6+bhz3biOr2BxzqCeXDKsN6+tSOXgsTKbnLO4opZb5m3ix11HeOzCwTx9aWyXqRFtjfjwQPYeKelSEw4Xbcki1iOXHsd3Gmkd9e8Tnn5w9QfGB/Q395ySdjBtYAjfPTiFHn6e3DxvEwvWp7e5dOPnmzOpM2uuH9dIWkevYdBzcJvO79CC+kJARNsmHGZvM8oDOkpaR70RN0BNGez94cSmi+J789iFg8/8TDKbYPHjENgHJj7YwQ11UsOuMVbHTP72rIcZKxzKiLRwYJ9vyqTWpE+ZaT6olz8L7hhHcWUtN763kfyyjl9ZaN6agwT7eXDp8LAOv3ZHmxoTwsH88jbfbt57pITl+/K4fXK/5pfibSdPzh6Kl5sLT3zT9trSOUWVXP32OrYdPs4r143g3untW4HEmcWFB1JTZyYl1zZfYBxdZY2Jn3Yf4Q89t4FyOXPp7V5xcOFLkPYbrHvllF39gn355v5JnDMohCe/S+YvX+9u9RLrdSYzn206zNSY4FMnnuWnQs42o7PQmSlljEpnrGu2LnCTUhYb/4bR59q2bW3VdyJ0i4IdnzR/7I5P4ehumPG0sUKiaF7YSAge2OziLHHhARzKL6e0qul65Y5KOtJdQJ3JzKcbG/kQAIZFBDH/trHkFFVy87xNFFd03Is4Na+MFfuPcfOEqC5xC3/aQKMM3prUto1Kv5mYhq+HK7dOjLJBq1qnp78Xj104hPUHC/hqW3arz7P3SAmXv7GWI0VVfHjHOC7rwHxvZ1Q/4XB3dpF9G9JBFicfpby6hqkVy4wOmH8jt9pH326UnfvtOTi88ZRd/l7uvHPzGB48ZwCfb87khnc3tGop4hX7j3GkuIobx0eeumP3QkBB3JVWn9PpRE6CslwobGVK14HFxmRMR1v9Tylj0uGh1cZCMU2pLoPlzxn53V3h39tWlDK+AB9eB8czmjws1vLe1tQy7Y5MOtJdwNI9uRwtqeKWJjpe4/p15+2bx5CWV8ZtH2xql9nujZm/9hAebi7cOKFzLcDSlOgQP3oHerG6DcuFZxSU8+OuHG6cEEmgj7sNW2e968b2YUxkN174aQ+FrVhZbl1qPte8tR6F4sv7JjIpOrgdWtm5RPXwxa8LTThctDWL2QFpeFYcMSYXNkYpmP2qkX6w6A6oOLW0p4uL4tELBvHaDSNJyinm0tfWWF2x6OMNGYQGeDJjSM+TG7U2Rtn6TYOAzn9HjcjJxu/WpHeUHIGjuxyj7F1jhl0LaNh5lklxa/9rfJG44O9S7s5a8Vcbv88yKl1fucMZ86SlI90FLFifQXiQN+cO7tnkMdMHhvDq9SPZlVXMXQu2UFVr+4oMDR0vr+HrbVlcPiKcYD/Pdr2WozCWCw9mTUrrlwt/e9VB3FxcHKLCiYuL4sUr4imtquP5n/ZY9djvdmRz6/ub6B3kxdf3T2Jwr4DmHySMCYdhXWPCYU5RJWvT8rk3cBN4Bhg1aZviFQBXv290dL57oNH0g0uGhfHVfZNwUYqr3lrHdztadiflcEEFq1KOcd3Yvri5NvjIzN5qrNzW2dM66gXHgE9w6yYc1pc/c7T86HrdIo2FVXZ+2njqSlEmrPufMRLdx0EqjjiTbpHGF7GzLBke4u9JaIAnyU44SCAd6U4uJbeU9QcLuHFC32Ynb82K68U/rxrGurQCHvhkW7tOaPp002Gqas3c4QAdwo40NSaEkqo6dmUVWf3YvJIqFm3J4srREYQGeNm+ca0wMNSfe6b35+tt2axrQcpK/SIyD3++g9GR3fjy3kmEBUmuoTW6yoTDb7Zn462rGFy0wqis0FxOathImPk87P8ZNr7V6CGxYYF89+BkhkcE8fDnO3jpl33Nfqn9dNNhXJRqfJKhmxcMmW3Fs3JiJ/KkWzEinbLEmKzYc6jt22UrI24w0lYyN56577dnjN8znu7QJnUqw66FghRjTkET4sICScqRjrRwMB9tyMDD1YVrx7SsusMVoyJ4bk4cv+0zCtK3duT0bGrqzHy4Lp2pMcEM6uVv8/M7sikDglEKVh2wPk963ppD1JnN3Du9fzu0rPUeOjeGqB4+PPFt0lnvZJjMmqe+T+Yfv+5j9vAwPrxjHIHe9k1PcUbxEZ1/wqHWmkVbs3ggNBmX2goYfkPLHjj+Hhh0MSz5m1ElohHBfp58fOd4bhzfl7dWpnHnh5spaWKCU61Zs3BLJjOG9KRXYIMvr6Zao+zdwFng1YVW3IycbOQRF2W2/DF11ZC2AgbOdOyUiCGXgrvvKTWlAcjaAru/hIkPGOlDonWGXgaunmdNn4kLDyQ1r4yKmo5JL7WVZjvSSqn5Sqk8pVRSg23/VErtU0rtUkp9o5QKarDvL0qpVKXUfqXUBQ22z7JsS1VKPdZgez+l1EbL9i+UUrL6go2UVdfx9bZsLhnWmx5WpE/cPCGSv1w4mB93HeHxr3e3uSrD6X7anUNeaXWXG40Go17msPBAq/Okiytq+XhDBhcPCyOyRyPL1dqRl7srz8+J51B+Oa+vSG30mKpaE/d/spUF6zO4e1p/Xrl2BJ5unX+CaXuI6wIrHG47XMSh/HKuclsN3fpB3wkte6BScNlrxqTERbdDVeMx8nBz4YXL43l+ThyrU/KZ8/pa0hop5bjlqInC8ppTqh0BRsewIr/rpHXUq68nbVkJsEUy1kJtOcQ4aFpHPU8/o7OX/A3UWCoraQ2//gX8QmHKH+zbPmfnHQSDZkHSV8YX0UbEhQdi1rD3iP0XirNGS0akPwBmnbZtKRCntR4GHAD+AqCUGgpcB8RaHvOGUspVKeUKvA5cCAwFrrccC/AP4D9a6wHAcWBum56ROOGbbVmUVddx88TI5g8+zT3To3no3AF8sSWT537ca7POtNaaeWsOER3iy/SYEJuc09lMjQlhe2ZRk6NgjVmwPp3yGhP3TY9ux5a13pSYYC4fGc5bK9POWC3zeHkNN7y7gSV7cnlq9lAev2hIhyxp3ln16wITDhdtzSLavZDQgk3GJENrRjJ9usNV841R0x8ePmu5tpsmRPLJneMpqqhlzutrWbE/75T9KzJriezhw+TTJ8LuXmis0DfgfGuelvMLjQXPQOvSOw4sMVJg+k1rv3bZyogboLoE9v1k/D35a8jaBOf+FTy71t3TdjHsOuMLaNryRnfHhRtzZZKdLL2j2Y601noVUHjatiVa6/qx9w1AhOXPlwGfa62rtdaHgFRgnOUnVWt9UGtdA3wOXKaMYrHnAossj/8QmNO2pyTA6LAuWJ9BfHggI/oEteocj5w/kNsnRzF/7SH+syzFJu3adKiQpOwS5k7p32U7U1NjgjGZNevTWrZceGWNiffXpXPOoBCGhjnupLy/XjwEX083Hv9mN2ZLSlBmYQVXvrmOpJwS3rhhFLdP7np3IWzt5IRD5/qwaamqWhM/7srhj712GBuGX2f9SfqMg/OeNEYXt75/1kPH9+/B9w9Opk83H+74YDNvrUxDa83+o6UcOG7mxvF9T32vqi4zOlpD54BbF7uB6uJq3B2wZsJhymJjIp+HT/u1y1YiJxvpGzs/hdoqWPo0hMYb5fFE2w2YAd7dYefnje7uFeBFD18Pp7vbZovVHO4A6pNewjE61vWyLNsAMk/bPh7oARQ16JQ3PP4MSqm7gbsBQkNDSUxMbGvbrVZWVmaX61prX6GJlLwq5sZ5sHLlylafZ6qfJjXcjVd/SyE3K4ML+7U8p7WxWL2yrQo/dwguSyMx0bZLTDuLOrPGyxW+SNyJ57F9J7Y39dpaml5LYXkNE4NKHf61d2V/xbyk4zz7yTKiAlz499ZqTFrz6GgvvAv2k5i436bXc5b/j7YWpKtZnl3Hb8tXWL0CpKPHbMOROkqraplU/BNFgXHs2HkIOGT9ifQw4ruPottP/8fWo4pyv7N/iXs4VjNPu/LSL/tI3JGCh6vCTWl6Vx0mMfHkx1fo0USG1Faw3TSQYgeOY3vpY+pFdP5i1i75llqPoBPbG3tdeVdkM77wIAd6zCDHSWIVFTiRyLSF5Lx/O+HFh9kR9RxFq1a3y7Uc/f9ie4jpNp5ee39k3bKfMbmd+eWqt7eJDftzSExsfElxR4xZmzrSSqkngDqgBUsCtZ3W+h3gHYAxY8bohISEjrjsKRITE7HHda315SfbCPTO50/XntvmxU6mT9c8/Pl2vth1hPghA8/MF2zC6bFKzy9nx+JEHkgYwMzzBrWpTc5uSuZmUvLKTolPY6+tmjozj69fwdiobtx9+aSObWQrTNeapHc28FVaCSaziW4+Xnx4x1gG9Gyf26LO8v/R1oqDslmcvoOwIaMZ0tu6uxSOHrP58zcxM+AAQTVHYNYTJIxKaP3Jxg2Dt6Yw9tBrcPdKIw/2LGaep3kjMY2Xl+xHa5gY5sbsmeecetDH/4PAvoy89F5w6YLz9TN94eCHTI5QMDThxOZGX1frXwdg4EUPMrCb9SmGdjGsL7z6BeE5P8Ogixhx+e/a7VKO/n+xXUT7wrxfmNqjEEZedMbuzdX7eHvlQSZOmdroPBpHjFmr3wWUUrcBlwA36pMJtNlAw/IQEZZtTW0vAIKUUm6nbRdtkFtSxeLko1wzJsImKwa6uij+c+0Izhvck799l8Q327NadZ4P1qXj5qK4pRU5253N1JgQMgoqyCgoP+tx3+/MIae4ivsSHDM3+nRKGbWlq+vMRPUwlmhur050VxZ3YoVD57oF2pyjxVWsSTnGA902gZu3MfmrLXyD4cr3jLJmPz3S7PLWSikeOGcA7948hiG9A7gw6rQ7cGV5Rn5n/FVdsxMN0Hs4uPtARgsmHB74FUIGG3WEnUX3/tB3Eri4wfnP2bs1nU/EGCPGTaR3xIUFUmc2UqucRaveCZRSs4D/Ay7VWlc02PU9cJ1SylMp1Q+IATYBm4EYS4UOD4wJid9bOuArgKssj78V+K51T0XU+3TjYUxat3jkuCXcXV14/cZRTOjXg0e/3MWvSUetenxxZS0Lt2Qye1gYPR2kBrI9TY0xJi+tTmm6DJ7ZrHlrZRqDe/lzzqCmF9NxNNEhfqx4NIGv758k/9btpH7CobPlEjbnm+3ZuOsa4oqWG/WZvWwwJyBqCkx/zKj7fHppsybMGBrKLw9PpW/AaQMRSV+DNltWwuui3DyMZbKbm3BYVWLkUjvqaoZnM/sVuOELCB5g75Z0PvVLhqevgeIzB+VOViVynkWnWlL+7jNgPTBIKZWllJoLvAb4A0uVUjuUUm8BaK2TgYXAHuBX4AGttcmSA/0gsBjYCyy0HAvwZ+ARpVQqRs70PJs+wy6m1mTms02HmT4wxOZl0rzcXXnv1jEMiwjkd59tZ9WBlpdw+2LzYSpqTF2y5F1j+gX7EtHN+6wxXLInl9S8Mu5LiEY5cv3VRoQHedvkbohonIuLYmhYALusXOrakRm1ozO5u9cBXKuLYUQTS4K3xrRHjQlvPz8KefuaP74puxdCr3joOdh2bXNGkZPg6O4mywsCcHAFmOscdzXDswkZaEyME+1j2DWANupznyaimzcBXm5OtTBLS6p2XK+17q21dtdaR2it52mtB2it+2itR1h+7m1w/Ata62it9SCt9S8Ntv+stR5o2fdCg+0HtdbjLOe8Wmtdbfun2XUsTj5KXml1u6VP+Hq68cFt44ju6cfdH21hc3phs4+pM5n5YG064/t1P/Fts6szlgsPYX1aQaMr1BkrAKbSt7sPF8f3tkMLhaOrX+GwrpOscLgzq5i0Y+Vc574G/MOg33TbndzF1UjxcPcx6kvXVDT/mNMVpBnLgnfl0eh6kZMADYcbWQWw3oElRqm8PuM7rFnCSXTvb7wudp65ZLhSirjwQKdaKryLJnl1XgvWZ9CnuzfTB7ZfKkCgjzsfzR1HWJA3d7y/md3NjIr9knSUnOIq7pzqWCvy2du0mGBKq+vYmVl0xr51aQXszCrmnun9cXOV/6biTPHhgVTXmUnJ6xwrHC7amkm4ewlh+Wth+LVG59eW/HvBFe9A3h749bHmjz/droWAgrgrbdsuZxQ+Blzcm07vMJuNZcEHnAuusnqpaMSwa+DYXuPOxmniwgPZe7S00UEmRySf0J3IvqMlbDpUyE3jI60uiWWtYD9PPrlzPAHe7twyfyMHcpueGDBvzSGievhw3mDnyfPtCJOig3FRsKqRPOk3ElMJ8ffkylERjTxSiM414bCq1sT3O3L4U+9dKG0yFmFpDwPOgymPwLYPYfei5o+vp7WRY91vKgSEtU/bnImHD4SParqe9JEdUJ7n+KsZCvuJvcL4MrbrzCXD48IDqakzk+okgwTSke5EPlqfgaebC9eM6dP8wTbQO9CbT+8aj7urCze9t7HRChRbM46zI7OI2yf367ILsDQl0Med4X2CzlgufGdmEWtTC7hzSj/JMxZN6h/si6+Ha6eYcPjb3jxKquqYUbMcwkZBSDuWxzznCegzwVj1sCCtZY/J3grHD0laR0ORkyBnW+NpMilLAAUxXWzlR9FyPt2N/PndX4Kp7pRdcZaFx5xlkEA60p1ESVUt32zPZvbwMLr5dtxqW5E9fPnkzvHUmszc8O5GjhRXnrJ//ppDBHi5cdVoGVltzNSYEHZmFlFccXK58DcSUwnwcuNGG1ZdEZ2Pi4siNjzQaT5szmbR1kym+R/Br2ifsUxze3J1g6vmGSkHX94GdS2YlrNrIbh6GpVEhCFysjGZMGvzmfsOLIbw0Ub5QSGaMuwaKMuFQ6cuGhfVwxgkcJY8aelIdxJfb82iosZklxrNMaH+LLhjPCWVtdz43kbyy4wPpvxKM78kHeH6cX3x9bTFIpqdz7SYYMwa1qUZ6R2peaUsTs7l1klR+EnMRDM6w4TDvJIqVqXk81CPLcat3o7IQQ6MgDlvwtFdsORvZz/WVAtJX8GgC8FLJkuf0GccKJcz0zvK8oyRames1iE61sBZxv+p09I7XFwUsWGBJOU4Rwk86Uh3AlprPtqQwfA+QQyLCLJLG+IjApl/+1hyiiq5ed4miitqWZZRi1KKWydF2aVNzmB4nyD8Pd1O5Em/mXgQL3cXbpOYiRaIDw+kqtZM6jHnyCVszLc7slHmWkYWL4VBs4xbvh1h0IUw4QHY9Dbs/aHp4w4mQkW+pWSXOMEr0CgFePqEw5Slxm9nrB8tOpabJ8Rebvz/qz71PSw2PIA9OSWYzGdfRMkRSEe6E1iXVkDasXJutnMqwNio7rx7yxjS8sq49f1NrMyq48K4XoQFedu1XY7M3dWFSQN6sOrAMQoqzXy3I5vrxvalh5+nvZsmnMCJCYdOWk/aqB2dxe2habhV5sPwdk7rON2MpyFsJHz3ABzPaPyYXV+AVxAMkHzfM0RONlI76mpObktZDP69jRUQhWjOsGuhtgL2/XTK5vjwQCprTRzKd/xBAulIdwIL1qfTzcedS4bZv97w1JgQ/nfDSHZnF1NZh5S8a4GpMSFkF1XyYbLxYXTXNImZaBlnn3CYlF3CgdwybvJeBz49On4RDDcPuOp9oyrHojuMNI4GXOsqjQ/42MuNY8WpIidBXRXkbDf+bqqFtBXGJEMnW0RK2EmfCRDUF3adumS4M1Ulko60kztSXMnSPblcM7aPw1R4uCC2F2/eOIo5A9wZ0SfI3s1xeNNiQgDYlW9izshwwmUEX7RQfS6hM3zYNGbR1kxC3Croe2wlxF9tn85q935w6auQvQV+e/aUXT0KNhqjZZLW0bi+E43f9ekdh9dDdYmUvRMt5+JijEofTITSoyc29w/2xcvdxSmWCpeOtJP7dONhNHDTeMeq8DAzthdzBsgITkv07eFDZA8fFHDv9Gh7N0c4mbjwQPY44YTD6joT3+3M4dGwZJSppv1qR7dE7OUwZi6se9VYkc8iNHclBPY1Rs3EmXyDIWTwyQmHBxaDqwf0T7Brs4STGXYtaPMptd3dXF0Y0jvAKe62SUfaidXUmflsUybnDupJn+4+9m6OaIP7E6K5NNqdAT397N0U4WTiIwKccsLhin15FFXUMsu0AnoOtX9O7QUvQmgcfHMPFGdDWR7dC3dA/FXGqJloXOQkyNwI2mTUj46cDJ7yPiasEBxj1I8/Pb0jLJA9OSWYHXzCobw7OLFfko6QX1bNzXYoeSds69qxfbk8RkbwhfXinXTC4aKtWYz1zyewYIcxGm3vnFp3L7j6A6Ou9Fd3wu4vUZglraM5kZOhuoTg/I2Qf0DK3onWGX6dsVx47p4Tm+LDAymtruNwYSOL/jgQ6Ug7sY/WZxDVw+dEjq0QouvpF+yHj5NNODxWWs2K/cf4Q8g2oxaxo3RWg2Pgkv/A4XWw7GlK/fpBzyH2bpVjs+RJ9z/4kfF3KXsnWiP2ClCup9SUjg03VjhMynHs9zbpSDupPTklbMk4zk0TImXpbSG6MFcXRWxYgFNNOPxuRzZms4mxJUsg+lzw72XvJp00/FoYcROYasjrOd3erXF8geHQLQqfyhzoMQB6yDwP0Qp+IUbVnt1fgtmY7xHT0x8PVxeHf2+TjrST+mhDOl7uLlw9uo+9myKEsDNnmnBYXzv6ptDDuJfl2HeSYVMu+idc9DLZ4RfauyXOoe8k47dU6xBtMfxaKMmG9NUAeLi5MKiXP8kOXrlDOtJOqLiylm+353Dp8DACfdzt3RwhhJ0NizBWOEw7Vm7vpjQrOaeEfUdLuc13HXgGwuCL7d2kM3n4wLi7MLt62bslziFqivFb8qNFWwy6CDz8YdfCE5viwgNIyilGa8edcCgdaSe0aGsWlbUmbpkYZe+mCCEcQLwTLV7w1bYsglxr6H9sOcTOAXepm+70hl3D7rgnoN80e7dEODN3bxh6Gez5DmqMCYaxYYEUVdSSXVRp58Y1TTrSTsZs1ny8IYORfYNOrPwjhOjanGXCYU2dme925PBIxF5UbQWM6OAlwUX7cHWnIHic/SuvCOc3/FqoKYX9PwMnBwkceWGWZjvSSqn5Sqk8pVRSg21XK6WSlVJmpdSY047/i1IqVSm1Xyl1QYPtsyzbUpVSjzXY3k8ptdGy/QullNQAO4s1qfkcyi/nFil5J4SwcJYJh4n78ygsr2G2Xgnd+kGf8fZukhDCkUROgYDwE+kdg3r54+qiSHbgyh0tGZH+AJh12rYk4ApgVcONSqmhwHVArOUxbyilXJVSrsDrwIXAUOB6y7EA/wD+o7UeABwH5rbuqXQNC9Zn0MPXg4vie9u7KUIIBxIXbixeYHLgxQsWbc0izreYbnkbHKN2tBDCsbi4QPzVkLoMyo7h5e5KTE8/hx4kaLYjrbVeBRSetm2v1np/I4dfBnyuta7WWh8CUoFxlp9UrfVBrXUN8DlwmVJKAecC9etCfgjMae2T6eyyjlewfF8u147tg6ebq72bI4RwIPHhgVTWmkhz0BUOC8qqWb4vjz/12m5sGH6dfRskhHBMw68zVspM+gowBgmSsh13wqGbjc8XDmxo8PcsyzaAzNO2jwd6AEVa67pGjj+DUupu4G6A0NBQEhMTbdNqK5SVldnlugBf7q9Ba4jWOSQmHrVLG6xhz1g5I4mX9SRmJ1WWGaXvvly2gcnhTVfzsVfMlqbXUmc2MzL/B4oC49ix8xBwqMPbYQ15fbWcxMp6ErOmjfbrh177HtuqBuNZUUt+WQ3fLl6Be12Fw8XM1h3pdqW1fgd4B2DMmDE6ISGhw9uQmJiIPa5bVWvikdXLmTE0lCsvHNP8AxyAvWLlrCRe1pOYnWQya17YtJha/zASEmKbPM5eMfvnq6u5qmc6ASVHYNZfSRjZ8W2wlry+Wk5iZT2J2Vl43AlLniAhLhz/fj34ZO96AiJjcc3d63Axs3XVjmyg4QohEZZtTW0vAIKUUm6nbRen+SXpCIXlNTLJUAjRKFcXxdDejjnhcO+REpJzSrgrYAO4+xglroQQoinxV4FygZ2fM6R3AEo5buUOW3ekvweuU0p5KqX6ATHAJmAzEGOp0OGBMSHxe20kvKwArrI8/lbgOxu3qVNYsD6D/sG+TI4OtndThBAOylEnHH61NQtf11piji2FIbPB09/eTRJCODL/XtA/AXYvxMfNhegQP5IctHJHS8rffQasBwYppbKUUnOVUpcrpbKAicBPSqnFAFrrZGAhsAf4FXhAa22y5EA/CCwG9gILLccC/Bl4RCmVipEzPc+2T9H5JWUXs/1wETdOiMTFRWa5CyEa54gTDmtNZr7dkc3vI9JwqS6WSYZCiJYZdh0UHYbMDcSFBThsnfxmc6S11tc3seubJo5/AXihke0/Az83sv0gRlUP0YQF69PxdnflqtER9m6KEMKBDYuwrHCYVczAUMcY9V25/xj5ZTVcHrIS/MOg33R7N0kI4QyGXAI/+sLOz4kL/z3f7sihpNrH3q06g6xs6OCKKmr4bkcOc0aGEejd9Ex8IYToH2KscOhIedJfbctioE85PY6uMVYtc5HSnUKIFvDwNTrTyd8SF+oFQEaJyc6NOpN0pB3cl1uyqK4zc/OEKHs3RQjh4OonHDrKLdDj5TUs25vLo2G7UdoEw2VJcCGEFYZdC9XFDKswKitnlJjt3KAzSUfagZnNmo83ZjAmshtDwwLs3RwhhBOICw8k2UEmHP6wK4dak2ZaxVIIHw0hA+3dJCGEM+mfAH6h+OxdRFQPH45W2P997XTSkXZgK1OOkVFQwc1S8k4I0UL1Ew4POsCEw0Vbs7gkJB+vwr3GkuBCCGENF1djyfCUJfxw51DmxnnYu0VnkI60A/tofQbBfp5cGNfb3k0RQjiJ+PoJh3ZO7ziQW8qurGLuDdoILu4Qd6Vd2yOEcFLDrgVzLf6pP6CU41Uuk460g8osrGDF/jyuH9cHDzf5ZxJCtEx0iB/e7vafcPjV1iy8XEwMzV8Mg2aBT3e7tkcI4aR6xUPPobDzC3u3pFHSQ3NQH2/IwEUpbhjf195NEUI4EVcXxVA711ytM5n5ens2D/RJx6UyXyYZCiFaTykYdg1kbcK74oi9W3MG6Ug7oKpaE19syeT8IaH0DvS2d3OEEE4m3s4TDlen5HOstJqr3deATzDEnG+XdgghOon4awBFz7yV9m7JGaQj7YB+2JlDUUWtTDIUQrRKXHggFTX2m3C4aFsWkd5VhB5ZYUwUcpUa+EKINggMh+HXU+fmZ++WnEE60g6mus7E26sOEh3iy6ToHvZujhDCCcWH22/CYXFFLUuTc/lTxB6UqQZGSLUOIYQNXP4m2RGX2LsVZ5COtIN59bcUUvPK+OvFQx1ydqoQwvFFh/jaZcJhrcnMMz8kU2Myc271b8YEoV7DOrQNQgjRkaQj7UB2ZRXx1sqDXDU6gnMG97R3c4QQTsrN1aXDJxxW1pi456OtfL09m2cmeeCTt92oHS0DAkKITkw60g6ius7Eo1/uJNjPg79dMtTezRFCOLmOnHBYVFHDje9tYMX+PJ6fE8etvutBuRgz7YUQohOTjrSD+N9vqRzILeOlK4YR6C0Tc4QQbVM/4fBQfvtOOMwpquSqt9aTlF3CGzeM4qZxfYx6r9HngX+vdr22EELYm3SkHcCurCLeXJkmKR1CCJvpiAmHKbmlXPnmOnKLq/jwjnFcGN8b0ldBSZZMMhRCdAnSkbaz6joTf/pyl6R0CCFsKjrEFy93F3ZnlbTL+bdmHOeqt9ZTZ9Z8cc9EJtZXGaouMyYYDrqoXa4rhBCOxM3eDejq/vdbKvtzS5l/2xhJ6RBC2IybqwtDe7fPhMPl+3K5/5Nt9ArwYsEd4+nbw+fkziGXGD9CCNEFyIi0He3OKubNlWlcOSqCcweH2rs5QohOxphwWIzZhhMOF23N4q4FW4np6c+i+yad2okWQoguRjrSdlJTZz5RpeNJSekQQrSDuPBAymtMHMwvb/O5tNa8tTKNR7/cycT+Pfjs7gkE+3naoJVCCOG8mu1IK6XmK6XylFJJDbZ1V0otVUqlWH53s2xXSqlXlVKpSqldSqlRDR5zq+X4FKXUrQ22j1ZK7bY85lXVRVYh+d/yFPbnlvL3K+IJ9JGUDiGE7cVHGBMO25reYTZrnv9pLy/9so/Zw8OYf9tY/DwlM1AIIVoyIv0BMOu0bY8Bv2mtY4DfLH8HuBCIsfzcDbwJRscbeAoYD4wDnqrvfFuOuavB406/VqeTlF3MG4lpXDEqXFI6hBDtZkCIH17uLuzKan1HuqbOzB8W7mDemkPcNimKV64dgYeb3MwUQghoQUdaa70KKDxt82XAh5Y/fwjMabB9gTZsAIKUUr2BC4ClWutCrfVxYCkwy7IvQGu9QWutgQUNztUp1ad09PD14KlLYu3dHCFEJ+bm6sKQNkw4LK+u484FW/huRw5/umAQT80eiotLl7hpKIQQLdLae3OhWusjlj8fBeqHVcOBzAbHZVm2nW17ViPbG6WUuhtjpJvQ0FASExNb2fzWKysra9N1v06pYd/RWn4/ypPtm9barmEOqK2x6mokXtaTmDWvO9Wszaxj+YoVuCjV4piV1Gj+s7WK9GIzt8d5EKuyWLkyq9nHdSby+mo5iZX1JGbWc8SYtTnJTWutlVLtvwatca13gHcAxowZoxMSEjrisqdITEyktddNyi7mpyVruWJUOL+/ZoRN2+WI2hKrrkjiZT2JWfOO+WXy26Jd9I0dy4Cefi2KWdbxCm6Zt4mccnjnljGcP7RrpqDJ66vlJFbWk5hZzxFj1tpEt1xLWgaW33mW7dlAnwbHRVi2nW17RCPbOx1J6RBC2IO1Ew73HS3hyjfXkV9Wzcd3ju+ynWghhGiJ1nakvwfqK2/cCnzXYPstluodE4BiSwrIYmCmUqqbZZLhTGCxZV+JUmqCpVrHLQ3O1am8tiKVfUdLefFyqdIhhOg49RMOW7JU+KZDhVz91noAvrx3EmOjurd384QQwqk1m9qhlPoMSACClVJZGNU3XgIWKqXmAhnANZbDfwYuAlKBCuB2AK11oVLqOWCz5bhntdb1Exjvx6gM4g38YvnpVJKyi3ljRSpXjAxnhozuCCE6UP2Ew+Y60ouTj/LQZ9uJ6ObNgjvGEdFNFloRQojmNNuR1lpf38Su8xo5VgMPNHGe+cD8RrZvAeKaa4ezqk/p6ObrwZOzZeEVIUTHiw8P5Ott2U2ucPj5psM8/s1uhkUEMf+2sXT39ejgFgohhHOSYqDtrD6l4++XxxPkIx9OQoiOFxceSFl1HYcKTl3hUGvN/35L4bGvdzNtYAif3jVeOtFCCGEFWZqqHdWndFwuKR1CCDuKDz854TDQss1k1jzzQzIL1mdw+chw/t9Vw3B3lbEVIYSwhrxrtpOaOjN/WrSLbr4ePCUpHUIIO4rp6Yenmwu7LSscVteZ+N3n21mwPoO7pvbjX1cPl060EEK0goxIt5PXV6Sy90gJ794yRlI6hBB21XDC4ehoze3vb2ZdWgGPXzSYu6dF27t5QgjhtKQj3Q6Sc4p53ZLSITVYhRCOwJhwmMVLBZrsskr+fc1wrhgV0fwDhRBCNEnu5dmYUaVDUjqEEI4lPiKQ8hoTR8rNvHvrGOlECyGEDciItI29kSgpHUIIx3Pu4J7MHBrKuIBizhnU097NEUKITkFGpG0oOaeY15anMmdEmKR0CCEcSrCfJ+/cMoYBQa72booQQnQa0pG2kVqTkdIR5OPBU7Nj7d0cIYQQQgjRziS1w0beWJHG3iMlvHPzaLrJggZCCCGEEJ2ejEjbwJ6cEv63PIXLRoQxM7aXvZsjhBBCCCE6gHSk28hI6dhJkI8HT0tKhxBCCCFElyGpHW30xoo09hwp4W1J6RBCCCGE6FJkRLoNGqZ0XCApHUIIIYQQXYp0pFup1mTmT4skpUMIIYQQoquS1I5WejMxjeQcSekQQgghhOiqZES6FfYeMVI6Lh0uKR1CCCGEEF2VdKStVGfWPPrlTgK93Xn6UknpEEIIIYToqtrUkVZKPayUSlJKJSulfm/Z1l0ptVQplWL53c2yXSmlXlVKpSqldimlRjU4z62W41OUUre26Rm1s58P1ZKcU8Lzc+LpLikdQgghhBBdVqs70kqpOOAuYBwwHLhEKTUAeAz4TWsdA/xm+TvAhUCM5edu4E3LeboDTwHjLed6qr7z7Wj2Hinhu9RaZg8PY1acpHQIIYQQQnRlbRmRHgJs1FpXaK3rgJXAFcBlwIeWYz4E5lj+fBmwQBs2AEFKqd7ABcBSrXWh1vo4sBSY1YZ2tZtXf0vB1x2ekZQOIYQQQogury0d6SRgqlKqh1LKB7gI6AOEaq2PWI45CoRa/hwOZDZ4fJZlW1PbHc6/rhnOI6O9JKVDCCGEEEK0vvyd1nqvUuofwBKgHNgBmE47RiuldJta2IBS6m6MtBBCQ0NJTEy01albLNi10i7XdUZlZWUSKytIvKwnMbOexKzlJFYtJ7GynsTMeo4YszbVkdZazwPmASilXsQYTc5VSvXWWh+xpG7kWQ7Pxhixrhdh2ZYNJJy2PbGJ670DvAMwZswYnZCQ0Nhh7SoxMRF7XNcZSaysI/GynsTMehKzlpNYtZzEynoSM+s5YszaWrWjp+V3X4z86E+B74H6yhu3At9Z/vw9cIulescEoNiSArIYmKmU6maZZDjTsk0IIYQQQgiH1daVDb9SSvUAaoEHtNZFSqmXgIVKqblABnCN5difMfKoU4EK4HYArXWhUuo5YLPluGe11oVtbJcQQgghhBDtqq2pHVMb2VYAnNfIdg080MR55gPz29IWIYQQQgghOpKsbCiEEEIIIUQrSEdaCCGEEEKIVlBGxoXzUUodw8jB7mjBQL4druuMJFbWkXhZT2JmPYlZy0msWk5iZT2JmfXsFbNIrXVIYzuctiNtL0qpLVrrMfZuhzOQWFlH4mU9iZn1JGYtJ7FqOYmV9SRm1nPEmElqhxBCCCGEEK0gHWkhhBBCCCFaQTrS1nvH3g1wIhIr60i8rCcxs57ErOUkVi0nsbKexMx6DhczyZEWQgghhBCiFWREWgghhBBCiFaQjrQQQgghhBCtIB1p0SZKKWXvNojOS15foj3J60u0N3mNdX7SkRZtFQSglHKzczucglLqBqXUcMuf5Q22eV71f5B4tZxSSt7bW8YPQCnlau+GOAOl1KVKqWh7t8PJnHhtyXtY5yRvtg0opeYopZ6zdzucgVIqUCm1GPgVQGtdZ+cmOTSl1Ayl1Grgv8BIAC0zfZuklJqplFoHvKaUuhEkXs2xdHIesXc7HJ0y9FRKJQLvAWitTfZtlWOzvH+tB+YBve3dHmeglLpYKbUM+LdSahrIe1hznLUP1uU70pY3VVel1J3Ay8BjSqmp9m6XE6gEioA4pdTVIKM6p7O8tryVUguBvwLPA4sAH8t+iVcjlFIhwLPA/wM+Aa5VSv3Fsq/Lv2edTinlppT6M/Aq8LJSaoTW2iyvr8ZZOjNVlp9hSqkLQV5bp7O8f/kppX7AeP/6K7ABiLTsl3g1QSkVBbwA/A/YC9xt6WNI3E7TGfpgXf4fVBtMQCrGSOH9gNN9I+pIlg/obhhvqtdivFmgtTbJrauTLK+tSuATrXWC1noxsA642bJfRsFOY3n9hAI7tdbfaq2XA48Bf1JKBVs6iPIaa8ByN2g/MBh4BHjbsl1eX42wdGQigB0Yr60nAbTWZjs2y+FY3r/KgI8t71+/AYuByyz7JV5NiwbWaK2/A97HuPPxkFKqm7yHnaoz9MG6bEdaKfU7pdS79d8SgZVa61Kt9buAr1JqruW4Lhujeg1idYdSSlle9CXAxVrrH4FdSqknlVJxWmvd1d8kGsTrLgDLm2n9F5BDQLJSqo892+hIlFK3KqXOhxOjhWXAJKVUd8u2PcBCLF/YxInX2EtKqWssm37SWldprf8L9FRK3WA5zt1ujXQQDWJ1JZzoAOYAA4G1wBGl1L1KqRh7ttNRNIjX1QBa6y8s212A40CmUsrTnm10NEqpq5RS4xtsygKuVEp5Wv5fJmIMojxplwY6oM7UB3P4BrYHpdRtwA3AV8DNltvG/Rsc8iTwSP23Rzs00WGcFqtbgb8oY7KJP8aINMDnGDH7wPL3Ljvx8LR43aSUelwp1R9OjBCWAMMx0mK6NKVUN6XUIuAl4F/1qQha63RgO/BKg8P/AvRXSvXrynmGltugf8C4E7QFeMbymuvW4LBHgH8CaK1rO7yRDqKRWD2vlLrN8gVtAMZdj3yMDs6/gH9bHtcl378aidezlniFwIkvIIcwBlCq7dhUh6GMXPuVGGlVf6nv9Gmt9wNLgX9YjlPAW0AfpVRoV34Pg87XB+uSHWngPOAfWutfgT9iVAa4sX6n1voXTuY1+dd/M++iTo+VJ3A1Ro70hUqpJcDvgOVAhuUxXXni4enx8gBuqt+ptd6NkZt5nX2a5zi01seBJcAQYCunjtY8CMxSSo21/L0c2AnUdGgjHYzlA/gc4K9a60XAH4BhwAUNjvkGOKCUehSMiWL2aKu9NRGrEcD5wFFgqlLqZ+B2jJHpg5aHdsmUmCbiNRyY1eCYdUCWUupS+7TSsWit84DvMGJ0BLinwe5ngEuUUrEN8vJLMe64dXWdqg/WpTrSDW4RbAcuAdBabwHWA+FKqckNDv8z8HcgBejVke10BM3Eqj8wBeMb9yat9Qit9UwgoauOGJ4lXhswXltTLMcpjDxDr66cAtPguS/QWhcBbwBXKKUiAbTWJRgfRH9TSt2KMdEpli70IXT666PBa2wLMBXA8kGUAsQqpQY1OPw+4P8ppY4C4R3QXLuyIlb7MTqHIzFuv2/WWsdifLFNUEqFd4X3LyvidQDjtTXYclwAsA/ocnc6zhKz/wF7MAYFLlZK9QbQWqdhVDl5w/L+fxPQE3D4Edb20ln7YJ26I62Umqwa1LxscItgLeCiLCVpgCSMb5NhlscNwPhg/xYYpbXu9LmZVsQqGeMDyB94Umv91wan6au1PtQhDbYzK19bOVhKRlk+pHsC5V3hA7teI/HSlt9Vlt+bgV8wZrrXH/MaRrnA0RiVAq7WWhd3YLPtzbvhXxq8xlIBf6VUvOXvK4FAjP+TKKVGAO9i3DYdpbX+sENaa18tjdUqjDjlAfdqrZ+yHF8ITNZaZ3dQe+3N2teWn+W4EoyJmqEd1E5H0mjMtNa1lgm/6zC+ZDzc4Ji/Y3Sm5wKDgLmWCehdQn26Xv2XkM7aB+uUHWml1ChLysFyjDeB+u31zzcFo0N4rVLKVWudhfHGEGXZXww8qLW+Qmud03Et73itiFUmxos9Umtdo4yyNfV5YeUd3PwO18rXVi9OvrYAHtVaz++gJtvVWeKl1JmTSF4DBiilYpVSoUqpAdqo2vEHrfWtnf3/Yj2l1ASl1FfA68qop13/YVSfu7sJI31qplLKzTIZMxwYY9lfANyvtb66s8esFbFKxvhSNlJrXWV5/6r/kO/0dzts8NoCuE5r/UFHttuezhIzddoodT7wPTBQKRWhjPzpblrrBcA9WutrtNZH7fAUOpxSaqJS6l3gD0op//qBkwavs07VB+tUHWmllLtS6m3gHYzk/8VAgmWfa4NvQ6XAaox835eVMbO9G8YHEFrrY1rrlA5ufodqY6yCOBkrkzNMBmgrW722ALTWnT7PtwXx0tooA+WtlKof7ToMfAPsxhgJC7Bs7zI5q0qpBIyRmK8x0hBuAroppVwso15orVMxbsFHY5RvA6jGMkdBa51pycXv1NoYq3TLflNXuTNki3hZjqnqsEbbWTMx01prrZTyVEZ1DpPWehVGBzEJ4z0sGLrGe349pdR0jEGR5RiDbo8rpWbCKQu3dao+WKfqSGP8o6wCpmqjLNvXwBDLN2sTgFLqGeBTjG88f8P4x1tt+XtXuAVaT2JlHYmXdVoSr6cwFlzpb/n79Rg1RF8G4rXW2+zScvsahpG3+wnwMeAOlNV/UVNKPa+UmocxOfNVYJxSaitQiPFlpStpS6yW2KnN9iTxsl5zMXsWo0Z0b8vf78WYcPg2MMyZOoM2NBpYq7X+DGMRslDgeqVUKBivMzrZ56TTl/lRSk0ACrXWBzDyTj9psNsVMGmt6yy3YOKBGOAxy0QAlFJ3AL5a69KObntHk1hZR+JlnVbEaxDwp/p4YZTWStBdJM8ezogZGF8+nlZK5WB8qdiLMVlpMZCJ8aXjSW2UCEQZ9aLdtDFhs1OTWFlH4mW9VsRsAA1ihpFjPskyst8lNBKz/cAIpVSY1jpHKVUG9ADmKKVWYLzOOtfnpNbaKX8w0gt+wrhF8FeMfwgABbhY/jwAyAW61e9r8HgXez8HiZVj/ki8OjxervZ+Dg4QM78G+8YB84ErLX+fizF5cHiDY7rMa0xiJfFygpjJe5glZhgDSq9h3MX4CiNd708Yc4MaPr7TvM6cObXDF+NW5kOWP0+DE8tNmpUxkSndcsz0+n1gTAzTXSCvtwGJlXUkXtZpa7y6TA50A6fHbGr9Dq31JiCEk3XZl2N8aB2HLvkak1hZR+JlvbbGTN7DTr7vp2AsCvV34Eut9eUYeeMJ9Q/sbK8zp+pIK6VuUUpNV0oFaKNM0TsYSwdXAeOVUvWlU5TlH6l+GdOq+u1wSgmWTktiZR2Jl3UkXtazImaeGKW07rc89Dygu+W4LhEziZV1JF7Wk5hZr5mYjauPmda6Rmu9Qmv9ueWho4Bf68/T2WLm8B1pZehtya25FWP1mzeVUsHaWMO+AliGkbB+LhijXcqoDFCO8Rwn1G+3z7PoGBIr60i8rCPxsp6VMTsPQBvLL38P+CmlVgHXY5SCyrPPs+gYEivrSLysJzGzXmve9xs8dooyJqxOBX7s6LZ3FIfuSFs+gDVGAf1srfV5GCt2FWJ8EwJAa70W49bxYKVUoFLKp8Gtlju01k93bMs7nsTKOhIv60i8rNeKmA1SSgUppby1Ue/4VuA2rfV5Wuu9Hf8MOo7EyjoSL+tJzKzXhvd9X8uug8DftNYX6JMTMjsdh+xIK6NI/ovAi8qoSTgIMMGJmrIPA5Ms++q9i7H60lLgUMNbDB3a+A4msbKOxMs6Ei/r2SBm6cpYqrpSa32wg5vfoSRW1pF4WU9iZj0bxOygUipCa52jtf65g5vf4RyuI235h9mKcZsgFXgOqAXOUUqNgxP5NU9bfupdjJHDtBOjBq3Dr4bTVhIr60i8rCPxsp4NYrYDI2adfqlqiZV1JF7Wk5hZz4bv+1kd12r7csQ60mbgX1rrjwCUUiOBfsCTwJvAaGVUAfgWOFcpFWW5ZVAFzNDGykJdhcTKOhIv60i8rCcxazmJlXUkXtaTmFlPYmYlhxuRxvgmtFBZ1rMH1gJ9tdYfAK5KqYcs34YiMBZ4SAfQWn/XBf8BJVbWkXhZR+JlPYlZy0msrCPxsp7EzHoSMys5XEdaa12hta7WJyconQ8cs/z5doxlhn8EPgO2wclSWl2NxMo6Ei/rSLysJzFrOYmVdSRe1pOYWU9iZj1HTO0AjGR3QGOs0/69ZXMp8DgQBxyqz1vSumuU0mqKxMo6Ei/rSLysJzFrOYmVdSRe1pOYWU9i1nIONyLdgBlwB/KBYZZvQH8DzFrrNboLJf+3gMTKOhIv60i8rCcxazmJlXUkXtaTmFlPYtZCypG/SCilJmCsKLQOeF9rPc/OTXJYEivrSLysI/GynsSs5SRW1pF4WU9iZj2JWcs4ekc6ArgZ+Lc2VhcSTZBYWUfiZR2Jl/UkZi0nsbKOxMt6EjPrScxaxqE70kIIIYQQQjgqR86RFkIIIYQQwmFJR1oIIYQQQohWkI60EEIIIYQQrSAdaSGEEEIIIVpBOtJCCCGEEEK0gnSkhRBCCCGEaAXpSAshhBBCCNEK/x+//1aV923yVgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 放大看\n",
    "fig = plt.figure(figsize=(12,4))\n",
    "plt.grid(True)\n",
    "fig.autofmt_xdate()\n",
    "\n",
    "plt.plot(df['S4248SM144NCEN']['2017-01-01':])\n",
    "plt.plot(x,true_predictions)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**预测未来的时间序列值**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 193,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch:  1 Loss: 0.02637003\n",
      "Epoch:  2 Loss: 0.02235967\n",
      "Epoch:  3 Loss: 0.01420650\n",
      "Epoch:  4 Loss: 0.01096698\n",
      "Epoch:  5 Loss: 0.01132137\n",
      "Epoch:  6 Loss: 0.01067625\n",
      "Epoch:  7 Loss: 0.01385082\n",
      "Epoch:  8 Loss: 0.01225379\n",
      "Epoch:  9 Loss: 0.01069641\n",
      "Epoch: 10 Loss: 0.01001978\n",
      "Epoch: 11 Loss: 0.00892048\n",
      "Epoch: 12 Loss: 0.00881878\n",
      "Epoch: 13 Loss: 0.00787867\n",
      "Epoch: 14 Loss: 0.00793300\n",
      "Epoch: 15 Loss: 0.00654336\n",
      "Epoch: 16 Loss: 0.00477153\n",
      "Epoch: 17 Loss: 0.00421579\n",
      "Epoch: 18 Loss: 0.00813891\n",
      "Epoch: 19 Loss: 0.00435803\n",
      "Epoch: 20 Loss: 0.00231854\n",
      "Epoch: 21 Loss: 0.00287038\n",
      "Epoch: 22 Loss: 0.00277172\n",
      "Epoch: 23 Loss: 0.00316620\n",
      "Epoch: 24 Loss: 0.00285987\n",
      "Epoch: 25 Loss: 0.00255703\n",
      "Epoch: 26 Loss: 0.00237400\n",
      "Epoch: 27 Loss: 0.00013880\n",
      "Epoch: 28 Loss: 0.00067541\n",
      "Epoch: 29 Loss: 0.00265941\n",
      "Epoch: 30 Loss: 0.00173528\n",
      "Epoch: 31 Loss: 0.00183163\n",
      "Epoch: 32 Loss: 0.00133842\n",
      "Epoch: 33 Loss: 0.00051252\n",
      "Epoch: 34 Loss: 0.00032429\n",
      "Epoch: 35 Loss: 0.00007254\n",
      "Epoch: 36 Loss: 0.00043622\n",
      "Epoch: 37 Loss: 0.00015376\n",
      "Epoch: 38 Loss: 0.00018373\n",
      "Epoch: 39 Loss: 0.00003254\n",
      "Epoch: 40 Loss: 0.00017604\n",
      "Epoch: 41 Loss: 0.00011224\n",
      "Epoch: 42 Loss: 0.00023637\n",
      "Epoch: 43 Loss: 0.00001979\n",
      "Epoch: 44 Loss: 0.00031231\n",
      "Epoch: 45 Loss: 0.00506563\n",
      "Epoch: 46 Loss: 0.00882148\n",
      "Epoch: 47 Loss: 0.00034239\n",
      "Epoch: 48 Loss: 0.00017478\n",
      "Epoch: 49 Loss: 0.01112229\n",
      "Epoch: 50 Loss: 0.00034057\n",
      "Epoch: 51 Loss: 0.00209468\n",
      "Epoch: 52 Loss: 0.00010255\n",
      "Epoch: 53 Loss: 0.00152135\n",
      "Epoch: 54 Loss: 0.00170845\n",
      "Epoch: 55 Loss: 0.00518708\n",
      "Epoch: 56 Loss: 0.02037601\n",
      "Epoch: 57 Loss: 0.00014741\n",
      "Epoch: 58 Loss: 0.00000349\n",
      "Epoch: 59 Loss: 0.00322676\n",
      "Epoch: 60 Loss: 0.00631852\n",
      "Epoch: 61 Loss: 0.00181799\n",
      "Epoch: 62 Loss: 0.00017554\n",
      "Epoch: 63 Loss: 0.00018005\n",
      "Epoch: 64 Loss: 0.00119774\n",
      "Epoch: 65 Loss: 0.00000045\n",
      "Epoch: 66 Loss: 0.00006896\n",
      "Epoch: 67 Loss: 0.00131386\n",
      "Epoch: 68 Loss: 0.00507442\n",
      "Epoch: 69 Loss: 0.00071242\n",
      "Epoch: 70 Loss: 0.00003474\n",
      "Epoch: 71 Loss: 0.00419903\n",
      "Epoch: 72 Loss: 0.00028040\n",
      "Epoch: 73 Loss: 0.00031675\n",
      "Epoch: 74 Loss: 0.00014370\n",
      "Epoch: 75 Loss: 0.00091054\n",
      "Epoch: 76 Loss: 0.00091500\n",
      "Epoch: 77 Loss: 0.00037995\n",
      "Epoch: 78 Loss: 0.00132480\n",
      "Epoch: 79 Loss: 0.00114776\n",
      "Epoch: 80 Loss: 0.00043971\n",
      "Epoch: 81 Loss: 0.00019865\n",
      "Epoch: 82 Loss: 0.00009428\n",
      "Epoch: 83 Loss: 0.00256126\n",
      "Epoch: 84 Loss: 0.00068929\n",
      "Epoch: 85 Loss: 0.00000862\n",
      "Epoch: 86 Loss: 0.00182231\n",
      "Epoch: 87 Loss: 0.00026396\n",
      "Epoch: 88 Loss: 0.00029931\n",
      "Epoch: 89 Loss: 0.00016121\n",
      "Epoch: 90 Loss: 0.00030180\n",
      "Epoch: 91 Loss: 0.00119314\n",
      "Epoch: 92 Loss: 0.00043613\n",
      "Epoch: 93 Loss: 0.00076348\n",
      "Epoch: 94 Loss: 0.00057158\n",
      "Epoch: 95 Loss: 0.00094236\n",
      "Epoch: 96 Loss: 0.00029936\n",
      "Epoch: 97 Loss: 0.00041987\n",
      "Epoch: 98 Loss: 0.00100730\n",
      "Epoch: 99 Loss: 0.00050077\n",
      "Epoch: 100 Loss: 0.00306406\n",
      "\n",
      "Duration: 179 seconds\n"
     ]
    }
   ],
   "source": [
    "# 重新开始训练\n",
    "epochs = 100\n",
    "\n",
    "# 切回到训练模式\n",
    "model.train()\n",
    "\n",
    "y_norm = scaler.fit_transform(y.reshape(-1, 1))\n",
    "y_norm = torch.FloatTensor(y_norm).view(-1)\n",
    "all_data = input_data(y_norm,window_size)\n",
    "\n",
    "\n",
    "start_time = time.time()\n",
    "\n",
    "for epoch in range(epochs):\n",
    "    \n",
    "    for seq, y_train in all_data:  \n",
    "        \n",
    "        optimizer.zero_grad()\n",
    "        model.hidden = (torch.zeros(1,1,model.hidden_size),\n",
    "                        torch.zeros(1,1,model.hidden_size))\n",
    "        \n",
    "        y_pred = model(seq)\n",
    "        \n",
    "        loss = criterion(y_pred, y_train)\n",
    "        loss.backward()\n",
    "        optimizer.step()\n",
    "        \n",
    "    print(f'Epoch: {epoch+1:2} Loss: {loss.item():10.8f}')\n",
    "    \n",
    "print(f'\\nDuration: {time.time() - start_time:.0f} seconds')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 196,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 重新预测\n",
    "window_size = 12\n",
    "future = 12\n",
    "L = len(y)\n",
    "\n",
    "preds = y_norm[-window_size:].tolist()\n",
    "\n",
    "model.eval()\n",
    "for i in range(future):  \n",
    "    seq = torch.FloatTensor(preds[-window_size:])\n",
    "    with torch.no_grad():\n",
    "\n",
    "        model.hidden = (torch.zeros(1,1,model.hidden_size),\n",
    "                        torch.zeros(1,1,model.hidden_size))  \n",
    "        preds.append(model(seq).item())\n",
    "\n",
    "\n",
    "true_predictions = scaler.inverse_transform(np.array(preds).reshape(-1, 1))\n",
    "\n",
    "\n",
    "x = np.arange('2019-02-01', '2020-02-01', dtype='datetime64[M]').astype('datetime64[D]')\n",
    "\n",
    "plt.figure(figsize=(12,4))\n",
    "plt.grid(True)\n",
    "plt.plot(df['S4248SM144NCEN'])\n",
    "plt.plot(x,true_predictions[window_size:])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 195,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,4))\n",
    "plt.grid(True)\n",
    "fig.autofmt_xdate()\n",
    "plt.plot(df['S4248SM144NCEN']['2017-01-01':])\n",
    "plt.plot(x,true_predictions[window_size:])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 8.1.2 使用Darts调用"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [],
   "source": [
    "from darts import TimeSeries\n",
    "from darts.dataprocessing.transformers import Scaler\n",
    "from darts.models import RNNModel\n",
    "from darts.metrics import mape\n",
    "from darts.utils.timeseries_generation import datetime_attribute_timeseries\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "import logging\n",
    "logging.disable(logging.CRITICAL)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv('data\\Alcohol_Sales.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [],
   "source": [
    "series = TimeSeries.from_dataframe(df, 'DATE', 'S4248SM144NCEN')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 划分训练集和测试集\n",
    "train, val = series.split_after(pd.Timestamp('20170101'))\n",
    "\n",
    "transformer = Scaler()\n",
    "train_transformed = transformer.fit_transform(train)\n",
    "val_transformed = transformer.transform(val)\n",
    "series_transformed = transformer.transform(series)\n",
    "\n",
    "# 创建年和月的协变量序列\n",
    "year_series = datetime_attribute_timeseries(pd.date_range(start=series.start_time(), freq=series.freq_str, periods=400),\n",
    "                                             attribute='year', one_hot=False)\n",
    "year_series = Scaler().fit_transform(year_series)\n",
    "month_series = datetime_attribute_timeseries(year_series, attribute='month', one_hot=True)\n",
    "covariates = year_series.stack(month_series)\n",
    "cov_train, cov_val = covariates.split_after(pd.Timestamp('20170101'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {},
   "outputs": [],
   "source": [
    "my_model = RNNModel(\n",
    "    model='LSTM',\n",
    "    hidden_dim=100,\n",
    "    dropout=0,\n",
    "    batch_size=1,\n",
    "    n_epochs=100,\n",
    "    optimizer_kwargs={'lr': 1e-3},\n",
    "    model_name='Alcohol_RNN',\n",
    "    log_tensorboard=True,\n",
    "    random_state=42,\n",
    "    training_length=12,\n",
    "    input_chunk_length=12,\n",
    "    force_reset=True\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "bc1de27f8a154523854675e9a6042133",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/100 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training loss: 0.0003, validation loss: 0.0023, best val loss: 0.0021\r"
     ]
    }
   ],
   "source": [
    "my_model.fit(train_transformed, covariates=cov_train, val_series=val_transformed, val_covariates=cov_val, verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def eval_model(model, lag):\n",
    "    pred_series = model.predict(n=24,covariates=covariates)\n",
    "    plt.figure(figsize=(8,5))\n",
    "    series_transformed[-lag:].plot(label='actual')\n",
    "    pred_series.plot(label='forecast')\n",
    "    plt.title('MAPE: {:.2f}%'.format(mape(pred_series, val_transformed)))\n",
    "    plt.legend();\n",
    "\n",
    "eval_model(my_model,0)\n",
    "eval_model(my_model,30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.4"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": false,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
